Respuesta :

Answer:

64 x^3

Step-by-step explanation:

Simplify the following:

(4 x)^3

Multiply each exponent in 4 x by 3:

4^3 x^3

4^3 = 4×4^2:

4×4^2 x^3

4^2 = 16:

4×16 x^3

4×16 = 64:

Answer:  64 x^3

Answer:

64x³

Step-by-step explanation:

[4x]³

[tex] {(4x)}^{3} = 64 {x}^{3} [/tex]

Since the cube is on the outside of the parentheses, it tells 4x to multiply itself three times; according to the Product-to-Power Exponential Rule, whenever you multiply bases with exponents and coefficients, you add the exponents:

[tex]4x \times 4x \times 4x = 64x^{3} [/tex]

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