Simplify (2^0*x^-3)^4

${(2^{0} \cdot x^{- 3})}^{4}$

Step 1

Anything raised to $0$ is $1$ .

${(1 \cdot x^{- 3})}^{4}$

Step 2

Multiply $x^{- 3}$ by $1$ .

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

Step 3

Multiply the exponents in ${(x^{- 3})}^{4}$ .

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

$x^{- 3 \cdot 4}$

Multiply $- 3$ by $4$ .

$x^{- 12}$

Step 4

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

$\frac{1}{x^{12}}$