Question

Equivalent answers for 64 to the power of 2/3

Answer 1

Answer:

16

Step-by-step 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:

$64^\frac{2}{3} = \sqrt[3]{64^{2}}$

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.

$64^\frac{x}{y} = \sqrt[y]{64^{x}}$

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.