Simplify (y^-8)/y

$\frac{y^{- 8}}{y}$

Step 1

Move $y^{- 8}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{y \cdot y^{8}}$

Step 2

Multiply $y$ by $y^{8}$ by adding the exponents.

Multiply $y$ by $y^{8}$ .

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

$\frac{1}{y^{1} y^{8}}$

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

$\frac{1}{y^{1 + 8}}$

Add $1$ and $8$ .

$\frac{1}{y^{9}}$