Simplify (-3g^-2hk^-2)/(-6h^0)

$\frac{- 3 g^{- 2} h k^{- 2}}{- 6 h^{0}}$

Step 1

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

$\frac{- 3 h k^{- 2}}{- 6 h^{0} g^{2}}$

Step 2

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

$\frac{- 3 h}{- 6 h^{0} g^{2} k^{2}}$

Step 3

Move $h^{0}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- 3 h \cdot h^{0}}{- 6 g^{2} k^{2}}$

Step 4

Simplify the numerator.

Multiply $h$ by $h^{0}$ by adding the exponents.

Move $h^{0}$ .

$\frac{- 3 (h^{0} h)}{- 6 g^{2} k^{2}}$

Multiply $h^{0}$ by $h$ .

Raise $h$ to the power of $1$ .

$\frac{- 3 (h^{0} h^{1})}{- 6 g^{2} k^{2}}$

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

$\frac{- 3 h^{0 + 1}}{- 6 g^{2} k^{2}}$

Add $0$ and $1$ .

$\frac{- 3 h^{1}}{- 6 g^{2} k^{2}}$

Simplify $- 3 h^{1}$ .

$\frac{- 3 h}{- 6 g^{2} k^{2}}$

Step 5

Cancel the common factor of $- 3$ and $- 6$ .

Factor $- 3$ out of $- 3 h$ .

$\frac{- 3 (h)}{- 6 g^{2} k^{2}}$

Cancel the common factors.

Factor $- 3$ out of $- 6 g^{2} k^{2}$ .

$\frac{- 3 (h)}{- 3 (2 g^{2} k^{2})}$

Cancel the common factor.

$\frac{- 3 h}{- 3 (2 g^{2} k^{2})}$

Rewrite the expression.

$\frac{h}{2 g^{2} k^{2}}$