17
QuizMultiple Choice

Exponential Functions — Test

Question 17 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

What is the simplified form of ((35⁢x^5⁢y^8)^0⁢(2⁢x⁢y^2)^−2)/(−3⁢(3⁢x^2)⁢(x⁢y^−2)) ?

Answer
A
the fraction with numerator 1 and denominator 36 x squared y squared
B
negative the fraction with numerator 1 and denominator 36 x to the negative 6 power y to the negative 8 power
C
negative the fraction with numerator 1 and denominator 36 x y to the 8th power
D
negative the fraction with numerator 1 and denominator 36 x to the 5th power y squared

Explanation

The factor raised to the zero power equals 1, and (2xy²)⁻² = 1/(4x²y⁴). The denominator simplifies to −3(3x²)(xy⁻²) = −9x³y⁻². Dividing by that denominator gives −1/(36x⁵y²), which is choice D.

AI-written and checked against the verified answer.

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