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Question 4 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

When simplified, which expression has the highest final exponent?

Answer

the fraction with numerator open paren y to the 5th power close paren to the negative 2 power and denominator y to the negative 7 power

the fraction with numerator y to the 4th power and denominator open paren y to the 0 power close paren to the 7th power

open paren the fraction with numerator y to the 5th power and denominator y squared close paren squared

open paren the fraction with numerator y to the 5th power and denominator y to the 4th power close paren to the negative 2 power

Explanation

Use the exponent rules to simplify each expression. A has exponent −10 − (−7) = −3, B has exponent 4 − 0 = 4, C has exponent (5 − 2) × 2 = 6, and D has exponent (5 − 4) × (−2) = −2. The highest final exponent is 6, so the correct choice is C, the expression with exponent 6.

AI-written and checked against the verified answer.

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