Exponent Enigma Worksheet
EXPONENT ENIGMA
Product & Quotient Rules • Secret Cipher Challenge
Name
Date
Period
Product Rule \(a^m \cdot a^n = a^{m+n}\) (Keep base, add powers)
Quotient Rule \(\dfrac{a^m}{a^n} = a^{m-n}\) (Keep base, subtract powers)
Riddle of the Day
Why did the two 4s skip lunch?
Simplify each problem, match your answer in the Code Bank to find its letter, and write it in the numbered punchline slot below!
The Secret Code Bank
Beware: 4 decoy answers are lurking!
\(y^7\) H
\(8x^7\) A
\(x^{20}\) Z
\(x^9\) T
\(m^7\) L
\(6y^3\) N
\(a^8\) E
\(15a^6b^4\) Y
\(c^7\) A
\(2p^3q^4\) E
\(6y^6\) D
\(y^{30}\) U
\(b^9\) Y
\(12m^7n^7\) T
\(w^5\) E
\(p^{11}\) R
\(6x^7\) K
\(4x^5y^3\) A
1 \(x^4 \cdot x^5\)
Answer
Letter
2 \(\dfrac{y^{10}}{y^3}\)
Answer
Letter
3 \(a^2 \cdot a^6\)
Answer
Letter
4 \(\dfrac{b^{14}}{b^5}\)
Answer
Letter
5 \(c^3 \cdot c^4\)
Answer
Letter
6 \(\dfrac{m^8}{m}\)
Answer
Letter
7 \(p^5 \cdot p^6\)
Answer
Letter
8 \(\dfrac{w^{12}}{w^7}\)
Answer
Letter
9 \((2x^3)(4x^4)\)
Answer
Letter
10 \(\dfrac{18y^9}{3y^3}\)
Answer
Letter
11 \((5a^2b)(3a^4b^3)\)
Answer
Letter
12 \(\dfrac{20x^7y^5}{5x^2y^2}\)
Answer
Letter
13 \((3m^4n^2)(4m^3n^5)\)
Answer
Letter
14 \(\dfrac{14p^8q^6}{7p^5q^2}\)
Answer
Letter
Punchline Reveal Write each problem's letter in its matching number slot:
Check your code!
1
2
3
4
•
5
6
7
8
9
10
11
•
12
13
14
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