Slam Dunk Slides SLAM DUNK
EXPONENTS
Mastering the Rules of the Court
The Starting Lineup
Vocab
x5
Base
The "big" number that gets multiplied.
x5
Exponent
Tells you how many times to multiply.
Rule #1: The Product Rule
The Play Call:
When multiplying powers with the SAME BASE, keep the base and ADD the exponents.
\[x^a \cdot x^b = x^{a+b}\]
Rule 1: In Action
Numbers
\(3^2 \cdot 3^4\)
\(3^{2+4} = 3^6\)
Variables
\(y^5 \cdot y^3\)
\(y^{5+3} = y^8\)
Rule #2: The Quotient Rule
The Play Call:
When dividing powers with the SAME BASE, keep the base and SUBTRACT the exponents.
\[\frac{x^a}{x^b} = x^{a-b}\]
Rule 2: In Action
Numbers
\[\frac{5^7}{5^4}\]
\(5^{7-4} = 5^3\)
Variables
\[\frac{x^{10}}{x^2}\]
\(x^{10-2} = x^8\)
Rule #3: The Power Rule
The Play Call:
When raising a power to a power, keep the base and MULTIPLY the exponents.
\[(x^a)^b = x^{a \cdot b}\]
Rule 3: In Action
Numbers
\((4^3)^2\)
\(4^{3 \times 2} = 4^6\)
Variables
\((m^4)^5\)
\(m^{4 \times 5} = m^{20}\)
Post-Game Playbook
Product
\(x^a \cdot x^b\)
ADD
Quotient
\[\frac{x^a}{x^b}\]
SUBTRACT
Power
\((x^a)^b\)
MULTIPLY
Court Side Notes Worksheet Court Side Notes
Player Name: Date:
Lesson Material
8th Grade Exponents
The Starting Lineup
x5
The Base is:
x5
The Exponent is:
Rule #1: The Product Rule
When multiplying powers with the SAME BASE , ADD the exponents.
\(x^a \cdot x^b = x^{a+b}\)
\(2^3 \cdot 2^4 = 2^{\text{______}} = \text{______}\)
\(y^2 \cdot y^6 = y^{\text{______}} = \text{______}\)
Rule #2: The Quotient Rule
When dividing powers with the SAME BASE , SUBTRACT the exponents.
\(\frac{x^a}{x^b} = x^{a-b}\)
\(\frac{5^{10}}{5^7} = 5^{\text{______}} = \text{______}\)
\(\frac{x^9}{x^2} = x^{\text{______}} = \text{______}\)
Rule #3: The Power Rule
When raising a power to a power, MULTIPLY the exponents.
\((x^a)^b = x^{a \cdot b}\)
\((4^2)^3 = 4^{\text{______}} = \text{______}\)
\((m^5)^2 = m^{\text{______}} = \text{______}\)
Full Court Press Practice Worksheet Full Court Practice
Player: __________________________
Coach's Orders: Use your Notes! Show your work (adding, subtracting, or multiplying) in the box, then write your final simplified answer.
Quarter 1: Product Rule
ADD EXPONENTS
1. \(x^4 \cdot x^2\)
Work
Answer:
2. \(5^3 \cdot 5^7\)
Work
Answer:
Quarter 2: Quotient Rule
SUBTRACT EXPONENTS
3. \(\frac{y^8}{y^3}\)
Work
Answer:
4. \(\frac{7^6}{7^5}\)
Work
Answer:
Quarter 3: Power Rule
MULTIPLY EXPONENTS
5. \((m^4)^2\)
Work
Answer:
6. \((2^3)^3\)
Work
Answer:
Quarter 4: Overtime
7. Simplify: \(\frac{x^2 \cdot x^8}{x^4}\)
Show Multi-Step Play
Simplified Final:
Swish and Color Worksheet Swish & Color
Independent Practice Exponents
Name: __________________________
1. \(x^5 \cdot x^2\)
Answer: ___________
2. \(\frac{y^{10}}{y^4}\)
Answer: ___________
3. \((m^3)^2\)
Answer: ___________
4. \(4^3 \cdot 4^3\)
Answer: ___________
5. \(\frac{5^8}{5^7}\)
Answer: ___________
6. \((10^2)^4\)
Answer: ___________
Color Key
\(x^7\) or \(y^6\) → ORANGE
\(m^6\) or \(4^6\) → BLACK
\(5^1\) or \(10^8\) → YELLOW
SCORE 1 2 3 4 5 6
Color the basketballs to match your answers!
"You miss 100% of the shots you don't take." – Michael Scott
Coachs Playbook Key Coach's Playbook
ANSWER KEY
Notes Key
Vocab: Base (large bottom number), Exponent (small top number).
Product Rule
2^3 · 2^4 = 2^7; y^2 · y^6 = y^8
Quotient Rule
5^10 / 5^7 = 5^3; x^9 / x^2 = x^7
Power Rule
(4^2)^3 = 4^6; (m^5)^2 = m^10
Practice Key
1. x^4 · x^2 x^6
2. 5^3 · 5^7 5^10
3. y^8 / y^3 y^5
4. 7^6 / 7^5 7^1 (7)
5. (m^4)^2 m^8
6. (2^3)^3 2^9
Challenge 7
(x^10 / x^4) = x^6
Swish & Color Key
Problems 1 & 2
x^7, y^6
ORANGE
Problems 3 & 4
m^6, 4^6
BLACK
Problems 5 & 6
5^1, 10^8
YELLOW
COACH'S PLAYBOOK • SLAM DUNK MATH © 2026
Slam Dunk Slides Pro Upgrade SLAM DUNK
EXPONENTS PRO
ADVANCED PLAYS: COEFFICIENTS
The Starting Lineup
Scout Report
x5
Base
The "big" variable or number that gets multiplied.
x5
Exponent
Tells you how many times to multiply the base.
The MVP: The Coefficient
4x3
Coefficient
The number standing in front of the variable.
Coach's Rule: Coefficients follow NORMAL math rules!
Product Rule PRO
1. Coefficients
Multiply
Just like regular numbers!
2. Exponents
Add
Keep the base the same!
\(3x^2 \cdot 4x^5 = 12x^7\)
Product Rule: Training Camp
\(2y^3 \cdot 5y^4\)
Step 1: \(2 \cdot 5 = 10\)
Step 2: \(y^{3+4} = y^7\)
\(10y^7\)
\(6a^2 \cdot a^8\)
Wait! No number?
It's a hidden \(1\)!
\(6a^{10}\)
Quotient Rule PRO
1. Coefficients
Divide
Just like regular math!
2. Exponents
Subtract
Top minus Bottom!
\[\frac{20x^8}{4x^2} = 5x^6\]
Quotient Rule: The Play
\[\frac{12x^{10}}{3x^2}\]
Step 1: \(12 \div 3 = 4\)
Step 2: \(x^{10-2} = x^8\)
\(4x^8\)
\[\frac{15y^5}{5y}\]
No exponent on bottom?
It's a hidden \(1\)!
\(3y^4\)
Power Rule PRO
The Play Call:
The exponent on the outside applies to EVERYTHING inside!
\((2x^4)^3 = 2^3 \cdot x^{4 \cdot 3} = 8x^{12}\)
Watch out! The coefficient gets raised to the power too!
Power Rule: The Slam Dunk
\((3x^2)^4\)
1: \(3^4 = 81\)
2: \(x^{2 \cdot 4} = x^8\)
\(81x^8\)
\((4y^5)^2\)
1: \(4^2 = 16\)
2: \(y^{5 \cdot 2} = y^{10}\)
\(16y^{10}\)
The Pro Playbook
Product
Multiply Coeff.
Add Exponents
Quotient
Divide Coeff.
Court Side Notes Worksheet Pro Upgrade Court Side Notes: PRO
Player Name: Date:
Advanced Plays
Coefficients & Rules
The Lineup Refresh
4
Coefficient
The number in front.
x
Base
The variable.
3
Exponent
Small top number.
Rule #1: Product Rule PRO
1. MULTIPLY the Coefficients.
2. ADD the Exponents.
\(3x^2 \cdot 4x^5 = \_\_\_\_\)
\(2x^3 \cdot 5x^4 = \_\_\_\_\_\_\)
\(6y^2 \cdot y^5 = \_\_\_\_\_\_\)
Rule #2: Quotient Rule PRO
1. DIVIDE the Coefficients.
2. SUBTRACT the Exponents.
\(\frac{10x^8}{2x^2} = \_\_\_\_\)
\(\frac{24x^{10}}{4x^2} = \_\_\_\_\_\_\)
\(\frac{15y^5}{5y} = \_\_\_\_\_\_\)
Rule #3: Power Rule PRO
1. RAISE the Coefficient to the power.
2. MULTIPLY the Exponents.
\((2x^4)^3 = \_\_\_\_\)
\((3x^2)^4 = \_\_\_\_\_\_\)
\((4y^5)^2 = \_\_\_\_\_\_\)
Full Court Press Practice Worksheet Pro Upgrade Full Court Practice: PRO
Player: __________________________
Coach's Orders: Advanced Playbook Active!
Remember: Handle coefficients like regular numbers (multiply/divide/power), then apply exponent rules to the variables!
Quarter 1: Product Rule (Mult. Coeff / Add Exp)
MULT & ADD
1. \(3x^4 \cdot 4x^5\)
The Play (Work Area)
Answer:
2. \(2y^3 \cdot 6y^2\)
The Play (Work Area)
Answer:
Quarter 2: Quotient Rule (Div. Coeff / Sub. Exp)
DIV & SUB
3. \(\frac{20x^8}{4x^2}\)
The Play (Work Area)
Answer:
4. \(\frac{12y^{10}}{3y^4}\)
The Play (Work Area)
Answer:
Quarter 3: Power Rule (Coeff. Power / Mult. Exp)
POWER & MULT
5. \((2x^4)^3\)
The Play (Work Area)
Answer:
6. \((3y^2)^4\)
The Play (Work Area)
Answer:
Quarter 4: All-Star Combo Challenge
7. Simplify: \(\frac{(2x^3 \cdot 3x^4)}{x^2}\)
Show the Full Play
Simplified Final:
Swish and Color Worksheet Pro Upgrade Swish & Color PRO
Advanced Coefficient Practice
Player: __________________________
1. \(2x^3 \cdot 5x^4\)
Answer: ___________
2. \(\frac{12y^{10}}{2y^4}\)
Answer: ___________
3. \((2m^3)^2\)
Answer: ___________
4. \(4x \cdot 3x^5\)
Answer: ___________
5. \(\frac{15y^{12}}{3y^3}\)
Answer: ___________
6. \((2x^5)^3\)
Answer: ___________
All-Star Color Key
If \(10x^7\) or \(6y^6\) → ORANGE
If \(4m^6\) or \(12x^6\) → BLACK
If \(5y^9\) or \(8x^{15}\) → YELLOW
SCORE 1 2 3 4 5 6
Complete the pro plays to color the court!
"You miss 100% of the shots you don't take." – Michael Scott
Coachs Playbook Key Pro Upgrade Coach's Playbook: PRO
ADVANCED ANSWER KEY
Notes Key (Advanced)
The Coefficient: The number in front.
Product Rule PRO
2x^3 · 5x^4 = 10x^7; 6y^2 · y^5 = 6y^7
Quotient Rule PRO
24x^10 / 4x^2 = 6x^8; 15y^5 / 5y = 3y^4
Power Rule PRO
(3x^2)^4 = 81x^8; (4y^5)^2 = 16y^10
Full Court Practice
1. 3x^4 · 4x^5 12x^9
2. 2y^3 · 6y^2 12y^5
3. 20x^8 / 4x^2 5x^6
4. 12y^10 / 3y^4 4y^6
5. (2x^4)^3 8x^12
6. (3y^2)^4 81y^8
Challenge 7
(2x^3 · 3x^4) / x^2 = 6x^7 / x^2 = 6x^5
Swish & Color PRO Key
Problems 1 & 2
10x^7, 6y^6
ORANGE
Problems 3 & 4
4m^6, 12x^6
BLACK
Problems 5 & 6
5y^9, 8x^{15}
YELLOW
COACH'S PLAYBOOK: PRO • SLAM DUNK MATH © 2026
Slam Dunk Slides Pro Upgrade SLAM DUNK
EXPONENTS PRO
The Coefficient Playbook
The Starting Lineup
Scout Report
x5
Base
The variable or number being multiplied.
x5
Exponent
Tells you how many times to multiply.
The MVP: The Coefficient
4x3
Coefficient
The number standing in front of the variable.
Coach's Rule: Coefficients follow NORMAL math rules!
Product Rule PRO
1. Coefficients
Multiply
2. Exponents
Add
\(3x^2 \cdot 4x^5 = 12x^7\)
Product Rule: Action
\(2y^3 \cdot 5y^4\)
Step 1: \(2 \cdot 5 = 10\)
Step 2: \(y^{3+4} = y^7\)
\(10y^7\)
\(6a^2 \cdot a^8\)
Coeff: \(6 \cdot 1 = 6\)
Exponents: \(2 + 8 = 10\)
\(6a^{10}\)
Quotient Rule PRO
1. Coefficients
Divide
2. Exponents
Subtract
\[\frac{20x^8}{4x^2} = 5x^6\]
Quotient Rule: Action
\[\frac{12x^{10}}{3x^2}\]
Step 1: \(12 \div 3 = 4\)
Step 2: \(x^{10-2} = x^8\)
\(4x^8\)
\[\frac{15y^5}{5y^1}\]
Divide: \(15 \div 5 = 3\)
Subtract: \(5 - 1 = 4\)
\(3y^4\)
Power Rule PRO
The Play Call:
The outside power applies to EVERYTHING inside!
\((2x^4)^3 = 2^3 \cdot x^{4 \cdot 3} = 8x^{12}\)
The coefficient gets the power too!
Power Rule: Slam Dunk
\((3x^2)^4\)
1: \(3^4 = 81\)
2: \(x^{2 \cdot 4} = x^8\)
\(81x^8\)
\((4y^5)^2\)
1: \(4^2 = 16\)
2: \(y^{5 \cdot 2} = y^{10}\)
\(16y^{10}\)
The Pro Playbook
Product
Multiply Coeff.
Add Exponents
Quotient
Divide Coeff.
Sub. Exponents
Power
Raise Coeff.
Mult. Exponents
Court Side Notes Worksheet Pro Upgrade Court Side Notes: PRO
Player: ______________________ Date: ________
Advanced
Coefficients
4
Coefficient
x
Base
\(^3\)
Exponent
Rule 1: Product Rule PRO
1. Multiply Coefficients. 2. Add Exponents.
\(3x^2 \cdot 4x^5 = 12x^7\)
\(2x^3 \cdot 5x^4\)
The Play / Result
\(6y^2 \cdot 3y^5\)
The Play / Result
Rule 2: Quotient Rule PRO
1. Divide Coefficients. 2. Subtract Exponents.
\(\frac{10x^8}{2x^2} = 5x^6\)
\(\frac{24x^{10}}{4x^2}\)
The Play / Result
\(\frac{15y^5}{5y^1}\)
The Play / Result
Rule 3: Power Rule PRO
1. Power the Coeff. 2. Multiply Exp.
\((2x^4)^3 = 8x^{12}\)
\((3x^2)^4\)
The Play / Result
\((4y^5)^2\)
The Play / Result
Full Court Press Practice Worksheet Pro Upgrade Full Court Practice: PRO
Player: __________________________
Coach's Orders: Show your expansion/work in the box, then write your final simplified answer.
Quarter 1: Product Rule
Multiply Coeff & Add Exp
1. \(3x^4 \cdot 4x^5\)
Work
Answer:
2. \(2y^3 \cdot 6y^2\)
Work
Answer:
Quarter 2: Quotient Rule
Divide Coeff & Sub Exp
3. \(\frac{20x^8}{4x^2}\)
Work
Answer:
4. \(\frac{12y^{10}}{3y^4}\)
Work
Answer:
Quarter 3: Power Rule
Power Coeff & Mult Exp
5. \((2x^4)^3\)
Work
Answer:
6. \((3y^2)^4\)
Work
Answer:
Quarter 4: Overtime Challenge
7. Simplify: \(\frac{x^2 \cdot x^8}{x^4}\)
Full Play
Final Slam Dunk:
Swish and Color Worksheet Pro Upgrade Swish & Color PRO
Advanced Playbook Edition
Name: ________________
1. 2x3 * 5x4
Answer:
2. 12y10 / 2y4
Answer:
3. (2m3)2
Answer:
4. 4x1 * 3x5
Answer:
5. 15y12 / 3y3
Answer:
6. (2x5)3
Answer:
All-Star Color Key
10x7 or 6y6 → ORANGE
4m6 or 12x6 → BLACK
5y9 or 8x15 → YELLOW
PRO SCORE 1 2 3 4 5 6
Color the balls based on results!
"You miss 100% of the shots you don't take." – Wayne Gretzky
Coachs Playbook Key Pro Upgrade Coach's Playbook: PRO
Answer Key
Notes Key (Pro)
Coefficient: The number in front.
Product Rule PRO
\(3x^2 \cdot 4x^5 = 12x^7\)
Quotient Rule PRO
\(24x^{10} / 4x^2 = 6x^8\)
Power Rule PRO
\((3x^2)^4 = 81x^8\)
Practice Key
1. \(3x^4 \cdot 4x^5\) \(12x^9\)
2. \(2y^3 \cdot 6y^2\) \(12y^5\)
3. \(20x^8 / 4x^2\) \(5x^6\)
4. \(12y^{10} / 3y^4\) \(4y^6\)
5. \((2x^4)^3\) \(8x^{12}\)
6. \((3y^2)^4\) \(81y^8\)
Challenge 7 Answer
\(6x^7 / x^2 = 6x^5\)
Swish & Color PRO Key
1 & 2
\(10x^7\), \(6y^6\)
ORANGE
3 & 4
\(4m^6\), \(12x^6\)
BLACK
5 & 6
\(5y^9\), \(8x^{15}\)
YELLOW
COACH'S PLAYBOOK PRO • SLAM DUNK MATH © 2026
Court Side Notes Worksheet BW Court Side Notes
Player: ______________________ Date: ________
8th Grade
Exponent Rules
x5 x
The Base is:
x5 5
The Exponent is:
Rule 1: Product Rule
Multiply Coeff. & ADD Exponents
2x3 * 4x2 = 8x5
3x2 * 5x4 = ______
2y5 * y3 = ______
Rule 2: Quotient Rule
Divide Coeff. & SUBTRACT Exponents
10x8 / 2x2 = 5x6
12x9 / 3x3 = ______
15y10 / 5y1 = ______
Rule 3: Power Rule
Power the Coeff. & MULTIPLY Exponents
(2x3)2 = 4x6
(3x2)3 = ______
(4y5)2 = ______
Full Court Press Practice Worksheet BW Full Court Practice
Player: __________________________
Coach's Orders: Show your work in the box, then write your final simplified answer.
Quarter 1: Product Rule
Add Exponents
1. \(2x^4 \cdot 3x^2\)
Work
Answer:
2. \(5y^3 \cdot y^7\)
Work
Answer:
Quarter 2: Quotient Rule
Subtract Exponents
3. \(\frac{10y^8}{2y^3}\)
Work
Answer:
4. \(\frac{12x^6}{4x^5}\)
Work
Answer:
Quarter 3: Power Rule
Multiply Exponents
5. \((2m^4)^2\)
Work
Answer:
6. \((3x^3)^3\)
Work
Answer:
Quarter 4: Overtime Challenge
7. Simplify: \(\frac{x^2 \cdot x^8}{x^4}\)
Full Play
Final Slam Dunk:
Swish and Color Worksheet BW Swish & Color
Ink-Friendly Independent Practice
Name: ________________
1. 2x5 * 3x2
Answer:
2. 8y10 / 2y4
Answer:
3. (2m3)2
Answer:
4. 4a3 * 3a3
Answer:
5. 10y8 / y7
Answer:
6. (10x2)2
Answer:
Color Key
If 6x7 or 4y6 → ORANGE
If 4m6 or 12a6 → BLACK
If 10y1 or 100x4 → YELLOW
SCORE 1 2 3 4 5 6
Color the balls based on results!
"You miss 100% of the shots you don't take." – Wayne Gretzky
Coachs Playbook Key BW Coach's Playbook
Answer Key
Notes Key
Product Rule
\(3x^2 \cdot 5x^4 = 15x^6\)
Quotient Rule
\(12x^9 / 3x^3 = 4x^6\)
Power Rule
\((3x^2)^3 = 27x^6\)
Practice Key
1. \(2x^4 \cdot 3x^2\) \(6x^6\)
2. \(5y^3 \cdot y^7\) \(5y^{10}\)
3. \(10y^8 / 2y^3\) \(5y^5\)
4. \(12x^6 / 4x^5\) \(3x^1\) (3x)
5. \((2m^4)^2\) \(4m^8\)
6. \((3x^3)^3\) \(27x^9\)
Challenge 7 Answer
\(x^{10} / x^4 = x^6\)
Swish & Color Key
1 & 4
\(6x^7, 12a^6\)
ORANGE
2 & 3
\(4y^6, 4m^6\)
BLACK
5 & 6
\(10y^1, 100x^4\)
YELLOW
COACH'S PLAYBOOK • SLAM DUNK MATH © 2026
