Algebra Examples

$\frac{1}{b^{- 7} \cdot b^{5}}$

Step 1

Multiply $b^{- 7}$ by $b^{5}$ 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.

$\frac{1}{b^{- 7 + 5}}$

Step 1.2

Add $- 7$ and $5$ .

$\frac{1}{b^{- 2}}$

Step 2

Move $b^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$b^{2}$