Algebra Examples

$y^{- 4} {(y^{2})}^{2}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{y^{4}} {(y^{2})}^{2}$

Step 2

Multiply the exponents in ${(y^{2})}^{2}$ .

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Step 2.1

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

$\frac{1}{y^{4}} y^{2 \cdot 2}$

Step 2.2

Multiply $2$ by $2$ .

$\frac{1}{y^{4}} y^{4}$

Step 3

Cancel the common factor of $y^{4}$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{y^{4}} y^{4}$

Step 3.2

Rewrite the expression.

$1$