Simplify (9x^-5y^-2)/y

$\frac{9 x^{- 5} y^{- 2}}{y}$

Step 1

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

$\frac{9 y^{- 2}}{y x^{5}}$

Step 2

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

$\frac{9}{y x^{5} y^{2}}$

Step 3

Multiply $y$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{9}{y^{2} y x^{5}}$

Multiply $y^{2}$ by $y$ .

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

$\frac{9}{y^{2} y^{1} x^{5}}$

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

$\frac{9}{y^{2 + 1} x^{5}}$

Add $2$ and $1$ .

$\frac{9}{y^{3} x^{5}}$