Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

$8 + {(\frac{1}{3})}^{- 2}$

Step 1.3

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

$8 + 3^{2}$

Step 1.4

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

$8 + 9$

Step 2

Add $8$ and $9$ .

$17$