Which expression is equivalent to cube root of 64 A to the 6th power b to the 7th power c to the 9th power ?
Answer
A
8 A cubed b cubed c to the 4th power open paren cube root of b c close paren
B
4 A squared b squared c cubed open paren cube root of b close paren
C
8 A squared b squared c cubed open paren cube root of b close paren
D
2 A b c squared open paren cube root of 4 A squared b cubed c close paren
Explanation
Take the cube root of each perfect-cube factor: ∛64 = 4, ∛(A⁶) = A², ∛(b⁷) = b²∛b, and ∛(c⁹) = c³. Multiplying these gives 4A²b²c³∛b, which matches choice B.
AI-written and checked against the verified answer.