Algebra Examples

${(x^{- 3} x^{4})}^{- 2}$

Step 1

Multiply $x^{- 3}$ by $x^{4}$ by adding the exponents.

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Step 1.1

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

${(x^{- 3 + 4})}^{- 2}$

Step 1.2

Add $- 3$ and $4$ .

${(x^{1})}^{- 2}$

Step 2

Simplify $x^{1}$ .

$x^{- 2}$

Step 3

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

$\frac{1}{x^{2}}$