Simplify (mg^4)^-1(mg^4)

${({mg}^{4})}^{- 1} ({mg}^{4})$

Step 1

Multiply the exponents in ${({mg}^{4})}^{- 1}$ .

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

${mg}^{4 \cdot - 1} {mg}^{4}$

Multiply $4$ by $- 1$ .

${mg}^{- 4} {mg}^{4}$

Step 2

Combine units.

${mg}^{0}$

Step 3

Simplify ${mg}^{0}$ .

$1$