5
lesson pretestMultiple Choice

Pretest

Question 5 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which property explains why (a^7)/(a^2)=a^9 is incorrect?

Answer
A
Power of a Power
B
Product of Powers
C
Negative Exponent
D
Quotient of Powers

Explanation

When dividing powers with the same base, subtract the exponents: a^7/a^2 = a^(7−2) = a^5. Adding the exponents to get a^9 uses the product-of-powers rule, which applies to multiplication, not division. The property is the Quotient of Powers.

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