Algebra Examples

${(\frac{{(- 1)}^{5}}{{(- 2)}^{- 3}})}^{2}$

Step 1

Move ${(- 2)}^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${({(- 1)}^{5} {(- 2)}^{3})}^{2}$

Step 2

Raise $- 1$ to the power of $5$ .

${(- {(- 2)}^{3})}^{2}$

Step 3

Raise $- 2$ to the power of $3$ .

${(- - 8)}^{2}$

Step 4

Multiply $- 1$ by $- 8$ .

$8^{2}$

Step 5

Raise $8$ to the power of $2$ .

$64$