Simplify (1/(h^-2))^-1*h^3

${(\frac{1}{h^{- 2}})}^{- 1} \cdot h^{3}$

Step 1

Move $h^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(h^{2})}^{- 1} \cdot h^{3}$

Step 2

Multiply the exponents in ${(h^{2})}^{- 1}$ .

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

$h^{2 \cdot - 1} \cdot h^{3}$

Multiply $2$ by $- 1$ .

$h^{- 2} \cdot h^{3}$

Step 3

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

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

$h^{- 2 + 3}$

Add $- 2$ and $3$ .

$h^{1}$

Step 4

Simplify $h^{1}$ .

$h$