Question

Equivalent answers for 64 to the power of 2/3

Answer 1

16

Explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

`64^(2)/(3) = \sqrt[3]{64^(2)}\\`

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

`64^(x)/(y) = \sqrt[y]{64^(x)}`

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

Simplify (if you want to)

`\sqrt[3]{64^(2)}\\\sqrt[3]{4096}\\16`

64 to the power of 2/3 is 16.