16
QuizMultiple Choice

Radical Functions — Test

Question 16 • Algebra II

What is the following product? cube root of 16 x to the 7th power times cube root of 12 x to the 9th power

Answer
A
4 x squared open paren cube root of 3 x squared close paren
B
4 x to the 5th power open paren cube root of 3 x close paren
C
x to the 5th power times open paren cube root of 28 x close paren
D
x squared times open paren cube root of 28 x squared close paren

Explanation

Combine the cube roots: ∛(16x⁷) · ∛(12x⁹) = ∛(192x¹⁶). Factor out perfect cubes: 192x¹⁶ = 64x¹⁵ · 3x, so the product is 4x⁵∛(3x). This matches choice A, 4x to the 5th power times the cube root of 3x.

AI-written and checked against the verified answer.

Previous
Next