Algebra Examples

${(\frac{y^{0}}{y^{n}})}^{- 1}$

Step 1

Cancel the common factor of $y^{0}$ and $y^{n}$ .

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Step 1.1

Factor $y^{n}$ out of $y^{0}$ .

${(\frac{y^{n} y^{- n}}{y^{n}})}^{- 1}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

${(\frac{y^{n} y^{- n}}{y^{n} \cdot 1})}^{- 1}$

Step 1.2.2

Cancel the common factor.

${(\frac{y^{n} y^{- n}}{y^{n} \cdot 1})}^{- 1}$

Step 1.2.3

Rewrite the expression.

${(\frac{y^{- n}}{1})}^{- 1}$

Step 1.2.4

Divide $y^{- n}$ by $1$ .

${(y^{- n})}^{- 1}$

Step 2

Multiply the exponents in ${(y^{- n})}^{- 1}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$y^{- n \cdot - 1}$

Step 2.2

Multiply $- n \cdot - 1$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$y^{1 n}$

Step 2.2.2

Multiply $n$ by $1$ .

$y^{n}$