Simplify (x^-3x^4)^-2

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

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

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

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

Add $- 3$ and $4$ .

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

Simplify $x^{1}$ .

$x^{- 2}$

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

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