5
QuizMultiple Choice

Polynomial Operations — Test

Question 5 • Algebra II

Which expression is equivalent to the fraction with numerator 60 x to the 20th power y to the 24th power and denominator 30 x to the 10th power y to the 12th power ?

Answer
A
30 x to the 10th power y to the 12th power
B
2 x squared y squared
C
30 x squared y squared
D
2 x to the 10th power y to the 12th power

Explanation

Divide the coefficients: 60 ÷ 30 = 2. When dividing powers with the same base, subtract the exponents, so x²⁰ ÷ x¹⁰ = x¹⁰ and y²⁴ ÷ y¹² = y¹². The equivalent expression is 2x¹⁰y¹², choice D.

AI-written and checked against the verified answer.

Previous
Next