Exponent Rules Checkpoint Worksheet
Exponent Rules Checkpoint
Laws of Exponents Practice • Stations 1–3
Name:
Date:
Period:
Checkpoint Protocol 1. Pick and solve any 3 from Q1–Q4. 2. Have teacher verify. 3. If revision is needed, complete Q5 for recovery.
Pick 3 of 4
Rule 1
Product Rule
\(a^m \cdot a^n = a^{m+n}\)
Check: Passed Redo Q5 | Sign:
Q1 Pick
\(x^4 \cdot x^5\)
Ans:
Q2 Pick
\(3y^3 \cdot 5y^4\)
Ans:
Q3 Pick
\(a^2 \cdot a^7 \cdot a\)
Ans:
Q4 Pick
\((2m^4 n^3)(6m^2 n^5)\)
Ans:
Q5 Recovery Complete if check requires revision: \((4p^5 q^2)(3p^3 q^4)\)
Work/Ans:
Pass:
Rule 2
Quotient Rule
\(\frac{a^m}{a^n} = a^{m-n}\)
Check: Passed Redo Q5 | Sign:
Q1 Pick
\(\frac{x^9}{x^2}\)
Ans:
Q2 Pick
\(\frac{20y^7}{5y^3}\)
Ans:
Q3 Pick
\(\frac{m^8 n^6}{m^3 n^2}\)
Ans:
Q4 Pick
\(\frac{36a^9 b^7}{6a^4 b^2}\)
Ans:
Q5 Recovery Complete if check requires revision: \(\frac{48x^7 y^8 z^5}{8x^2 y^3 z}\)
Work/Ans:
Pass:
Rule 3
Power of a Power
\((a^m)^n = a^{m \cdot n}\)
Check: Passed Redo Q5 | Sign:
Q1 Pick
\((x^4)^5\)
Ans:
Q2 Pick
\((y^6)^3\)
Ans:
Q3 Pick
\(((m^3)^2)^4\)
Ans:
Q4 Pick
\((p^4)^3 \cdot p^5\)
Ans:
Q5 Recovery Complete if check requires revision: \((k^5)^4 \cdot (k^2)^3\)
Work/Ans:
Pass:
Exponent Rules Checkpoint
Laws of Exponents Practice • Stations 4–6
Name:
Page 2 of 2
Protocol: Pick & solve 3 from Q1–Q4. Present for teacher verification. Complete Q5 only if revision is required.
Show all work
Rule 4
Power of a Product
\((ab)^n = a^n b^n\)
Check: Passed Redo Q5 | Sign:
Q1 Pick
\((2x)^4\)
Ans:
Q2 Pick
\((3a^3 b^2)^3\)
Ans:
Q3 Pick
\((4x^2 y^5)^2\)
Ans:
Q4 Pick
\((2m^4 n^2)^3 \cdot m^3\)
Ans:
Q5 Recovery Complete if check requires revision: \((3a^3 b^4)^2 \cdot 2a^2 b\)
Work/Ans:
Pass:
Rule 5
Zero Exponent Rule
\(a^0 = 1 \quad (a \neq 0)\)
Check: Passed Redo Q5 | Sign:
Q1 Pick
\(8^0\)
Ans:
Q2 Pick
\(7x^0\)
Ans:
Q3 Pick
\((15mn)^0\)
Ans:
Q4 Pick
\(4a^0 + (6b)^0\)
Ans:
Q5 Recovery Complete if check requires revision: \(\frac{18x^0 y^5}{3y^5}\)
Work/Ans:
Pass:
Rule 6
Negative Exponent Rule
\(a^{-n} = \frac{1}{a^n} \quad (\frac{1}{a^{-n}} = a^n)\)
Check: Passed Redo Q5 | Sign:
Q1 Pick
\(x^{-5}\)
Ans:
Q2 Pick
\(4y^{-3}\)
Ans:
Q3 Pick
\(\frac{1}{m^{-6}}\)
Ans:
Q4 Pick
\(\frac{3a^{-2}}{b^{-4}}\)
Ans:
Q5 Recovery Complete if check requires revision: \(\frac{12x^{-4} y^5}{4x^2 y^{-3}}\)
Work/Ans:
Pass:
