Basic Math Examples

${(- 5)}^{2} {(0.5)}^{- 2}$

Step 1

Raise $- 5$ to the power of $2$ .

$25 {(0.5)}^{- 2}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$25 \frac{1}{{0.5}^{2}}$

Step 3

Raise $0.5$ to the power of $2$ .

$25 (\frac{1}{0.25})$

Step 4

Cancel the common factor of $0.25$ .

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Step 4.1

Factor $0.25$ out of $25$ .

$0.25 (100) \frac{1}{0.25}$

Step 4.2

Cancel the common factor.

$0.25 \cdot 100 \frac{1}{0.25}$

Step 4.3

Rewrite the expression.

$100$