Write the Fraction in Simplest Form (10h^-6)/((2y^-5h)^-1)

$\frac{10 h^{- 6}}{{(2 y^{- 5} h)}^{- 1}}$

Step 1

Move $h^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{10}{{(2 y^{- 5} h)}^{- 1} h^{6}}$

Step 2

Move ${(2 y^{- 5} h)}^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{10 (2 y^{- 5} h)}{h^{6}}$

Step 3

Move $y^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{10 (2 h)}{h^{6} y^{5}}$

Step 4

Cancel the common factor of $h$ and $h^{6}$ .

Factor $h$ out of $10 (2 h)$ .

$\frac{h (10 \cdot (2))}{h^{6} y^{5}}$

Cancel the common factors.

Factor $h$ out of $h^{6} y^{5}$ .

$\frac{h (10 \cdot (2))}{h (h^{5} y^{5})}$

Cancel the common factor.

$\frac{h (10 \cdot (2))}{h (h^{5} y^{5})}$

Rewrite the expression.

$\frac{10 \cdot (2)}{h^{5} y^{5}}$

Step 5

Multiply $10$ by $2$ .

$\frac{20}{h^{5} y^{5}}$