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Popular >

simplify (2c^{-1})^{-3}

Solution

simplify

(2 c^{- 1})^{- 3}

Solution

\frac{c ^{3}}{8}

Solution steps

(2 c^{- 1})^{- 3}

Apply exponent rule:

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

(2 c^{- 1})^{- 3} = \frac{1}{( 2 c ^{- 1} ) ^{3}}

= \frac{1}{( 2 c ^{- 1} ) ^{3}}

Simplify

(2 c^{- 1})^{3} : \frac{8}{c ^{3}}

= \frac{1}{\frac{8}{c ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{c ^{3}}{8}

Popular Examples

simplify (b^2+3b-28)/(b^2-49)simplify

\frac{b ^{2} + 3 b - 28}{b ^{2} - 49}

2.08 \geq 0.65 y

4x-7<= x-1<3x+7

4 x - 7 \leq x - 1 < 3 x + 7

simplify-2+16/3 simplify

- 2 + \frac{16}{3}

4 x^{2} + 8 x - 7 = 0

Frequently Asked Questions (FAQ)

What is (2c^{-1})^{-3} ?
The solution to (2c^{-1})^{-3} is (c^3)/8