Algebra Examples

$\frac{- 3 y^{- 5}}{5 {(y)}^{2}}$

Step 1

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

$\frac{- 3}{5 {(y)}^{2} y^{5}}$

Step 2

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

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Step 2.1

Move $y^{5}$ .

$\frac{- 3}{5 (y^{5} {(y)}^{2})}$

Step 2.2

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

$\frac{- 3}{5 y^{5 + 2}}$

Step 2.3

Add $5$ and $2$ .

$\frac{- 3}{5 y^{7}}$

Step 3

Move the negative in front of the fraction.

$- \frac{3}{5 y^{7}}$