Pre-Algebra Examples

$y^{4} (y^{- 7})$

Step 1

Multiply $y^{4}$ by $y^{- 7}$ by adding the exponents.

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Step 1.1

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

$y^{4 - 7}$

Step 1.2

Subtract $7$ from $4$ .

$y^{- 3}$

Step 2

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

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