# Question

In the future can I always "factor" a cube root to simplify it? The following equation featured in one of the practice questions: *k*^3 = 1/64 with the final answer being *k *= 1/4. I understand that 1^3 = 1 and 4^3 = 64 but I was initially stumped when I first had to simplify *k*^3 = 1/64.

# Answer

We are solving for *k*. So to solve when we get to *k*^3 = 1/64, we need to take the cube root of both sides.

Since here *k*^3 = 1/64, we take the cube root of 1/64 and get *k* = 1/4. Since (1/4)^3 = 1^3/4^3 = 1/64

If we have *k*^*n* = *b*, we take the nth root of *b*.

If *k*^*n* = 1/*b*, then we would have 1 divide by the nth root of *b*.

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