Simplify (g^3*g^-2)^4

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

Step 1

Multiply $g^{3}$ by $g^{- 2}$ by adding the exponents.

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

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

Subtract $2$ from $3$ .

${(g^{1})}^{4}$

Step 2

Simplify $g^{1}$ .

$g^{4}$