simplify 4b^{-5}

Solution

simplify

4 b^{- 5}

\frac{4}{b ^{5}}

Solution steps

4 b^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

b^{- 5} = \frac{1}{b ^{5}}

= 4 \cdot \frac{1}{b ^{5}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 \cdot 1}{b ^{5}}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4}{b ^{5}}

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