Algebra Examples

${(a + b)}^{- 3} {(a + b)}^{2} {(a + b)}^{- 2}$

Step 1

Multiply ${(a + b)}^{- 3}$ by ${(a + b)}^{2}$ 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.

${(a + b)}^{- 3 + 2} {(a + b)}^{- 2}$

Step 1.2

Add $- 3$ and $2$ .

${(a + b)}^{- 1} {(a + b)}^{- 2}$

Step 2

Multiply ${(a + b)}^{- 1}$ by ${(a + b)}^{- 2}$ by adding the exponents.

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Step 2.1

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

${(a + b)}^{- 1 - 2}$

Step 2.2

Subtract $2$ from $- 1$ .

${(a + b)}^{- 3}$

Step 3

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

$\frac{1}{{(a + b)}^{3}}$