Algebra Examples

${(x^{2})}^{- 2} + x^{4} x^{5}$

Step 1

Multiply the exponents in ${(x^{2})}^{- 2}$ .

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Step 1.1

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

$x^{2 \cdot - 2} + x^{4} x^{5}$

Step 1.2

Multiply $2$ by $- 2$ .

$x^{- 4} + x^{4} x^{5}$

Step 2

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

$\frac{1}{x^{4}} + x^{4} x^{5}$

Step 3

Multiply $x^{4}$ by $x^{5}$ by adding the exponents.

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Step 3.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{x^{4}} + x^{4 + 5}$

Step 3.2

Add $4$ and $5$ .

$\frac{1}{x^{4}} + x^{9}$