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Popular >

simplify ((-6)^3)/(2^3)

Solution

simplify

\frac{( - 6 ) ^{3}}{2 ^{3}}

Solution

- 27

Solution steps

\frac{( - 6 ) ^{3}}{2 ^{3}}

Apply exponent rule:

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

\frac{( - 6 ) ^{3}}{2 ^{3}} = (\frac{- 6}{2})^{3}

= (\frac{- 6}{2})^{3}

\frac{- 6}{2} = - 3

= (- 3)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 3)^{3} = - 3^{3}

= - 3^{3}

3^{3} = 27

= - 27

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Frequently Asked Questions (FAQ)

What is ((-6)^3)/(2^3) ?
The solution to ((-6)^3)/(2^3) is -27