Basic Math Examples

${(- 1)}^{10} + {(- 22)}^{0 - (\frac{3}{2^{2}})}$

Step 1

Simplify each term.

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Step 1.1

Raise $- 1$ to the power of $10$ .

$1 + {(- 22)}^{0 - (\frac{3}{2^{2}})}$

Step 1.2

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

$1 + {(- 22)}^{0 - \frac{3}{4}}$

Step 1.3

Subtract $\frac{3}{4}$ from $0$ .

$1 + {(- 22)}^{- \frac{3}{4}}$

Step 1.4

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

$1 + \frac{1}{{(- 22)}^{\frac{3}{4}}}$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{{(- 22)}^{\frac{3}{4}}}{{(- 22)}^{\frac{3}{4}}} + \frac{1}{{(- 22)}^{\frac{3}{4}}}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{{(- 22)}^{\frac{3}{4}} + 1}{{(- 22)}^{\frac{3}{4}}}$