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Popular >

simplify ((-5)/4)^{-3}

Solution

simplify

(\frac{- 5}{4})^{- 3}

Solution

- \frac{64}{125}

+1

Solution steps

(\frac{- 5}{4})^{- 3}

Apply exponent rule:

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

(\frac{- 5}{4})^{- 3} = \frac{1}{( \frac{- 5}{4} ) ^{3}}

= \frac{1}{( \frac{- 5}{4} ) ^{3}}

(\frac{- 5}{4})^{3} = - \frac{125}{64}

= \frac{1}{- \frac{125}{64}}

\frac{1}{- \frac{125}{64}} = - \frac{64}{125}

= - \frac{64}{125}

Popular Examples

x - \frac{5}{4} = \frac{2}{3}

-3+4(2-y)=3(y-6)+6/3

- 3 + 4 (2 - y) = 3 (y - 6) + \frac{6}{3}

factor 1+a^3 factor

1 + a^{3}

simplify (5a^2b^3c^4)(6a^3b^4c^2)simplify

(5 a^{2} b^{3} c^{4}) (6 a^{3} b^{4} c^{2})

simplify (4+2)/2 simplify

\frac{4 + 2}{2}

Frequently Asked Questions (FAQ)

What is ((-5)/4)^{-3} ?
The solution to ((-5)/4)^{-3} is -64/125