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

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

Step 1

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

$\frac{1}{y^{- 2} y^{5}}$

Step 2

Multiply $y^{- 2}$ by $y^{5}$ by adding the exponents.

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

$\frac{1}{y^{- 2 + 5}}$

Add $- 2$ and $5$ .

$\frac{1}{y^{3}}$