Basic Math Examples

${(- \frac{1}{64})}^{\frac{- 2}{3}}$

Step 1

Move the negative in front of the fraction.

${(- \frac{1}{64})}^{- \frac{2}{3}}$

Step 2

Change the sign of the exponent by rewriting the base as its reciprocal.

${(- 64)}^{\frac{2}{3}}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Rewrite $- 64$ as ${(- 4)}^{3}$ .

${({(- 4)}^{3})}^{\frac{2}{3}}$

Step 3.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(- 4)}^{3 (\frac{2}{3})}$

Step 4

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

${(- 4)}^{3 (\frac{2}{3})}$

Step 4.2

Rewrite the expression.

${(- 4)}^{2}$

Step 5

Raise $- 4$ to the power of $2$ .

$16$