Question

Write the expression as a cube of a monomial: 64x^9.

A) (4x^3)^3
B) (2x^4)^3
C) (8x^2)^3
D) (6x^3)^3

Answer 1

The expression 64x^9 can be written as a cube of a monomial by cubing the digit term and multiplying the exponent by 3. The correct answer is (4x^3)^3.

Step-by-step explanation:

The expression 64x^9 can be written as a cube of a monomial by applying the rule of cubing exponentials. To do this, we cube the digit term (64) in the usual way and multiply the exponent of the exponential term (x^9) by 3. So the correct answer is (4x^3)^3, option A.