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Popular >

simplify 48(-4)^{-3}

Solution

simplify

48 (- 4)^{- 3}

Solution

- \frac{3}{4}

+1

Decimal Notation

- 0.75

Solution steps

48 (- 4)^{- 3}

Apply exponent rule:

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

(- 4)^{- 3} = \frac{1}{( - 4 ) ^{3}}

= 48 \cdot \frac{1}{( - 4 ) ^{3}}

(- 4)^{3} = - 64

= 48 \cdot \frac{1}{- 64}

Apply the fraction rule:

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

= 48 (- \frac{1}{64})

Apply rule:

a (- b) = - ab

48 (- \frac{1}{64}) = - 48 \cdot \frac{1}{64}

= - 48 \cdot \frac{1}{64}

- 48 \cdot \frac{1}{64} = - \frac{3}{4}

= - \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is 48(-4)^{-3} ?
The solution to 48(-4)^{-3} is -3/4