How much is 64 to the power of 1/3?

In algebra, the method or technique in which powers and roots are expressed together is known as a fractional exponent.

Answer: 64 to the power of 1/3 is 4.

Let us see the solution step by step.

Explanation:

Given: 64 to the power of 1/3 can also be written as 64^(1/3).

Let us rewrite 64 as 4³.

64^(1/3) = 4^3(1/3)

Applying the exponent rules (a^m)ⁿ = a^mn

we cancel the common factor of 3 to get 4¹ = 4.

Thus, 64 to the power of 1/3 is 4.