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Popular >

simplify ((-15e)^3)/((3e)^3)

Solution

simplify

\frac{( - 15 e ) ^{3}}{( 3 e ) ^{3}}

Solution

- 125

Solution steps

\frac{( - 15 e ) ^{3}}{( 3 e ) ^{3}}

Apply exponent rule:

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

\frac{( - 15 e ) ^{3}}{( 3 e ) ^{3}} = (\frac{- 15 e}{3 e})^{3}

= (\frac{- 15 e}{3 e})^{3}

\frac{- 15 e}{3 e} = - 5

= (- 5)^{3}

Apply exponent rule:

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

if

n

is odd

(- 5)^{3} = - 5^{3}

= - 5^{3}

5^{3} = 125

= - 125

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Frequently Asked Questions (FAQ)

What is ((-15e)^3)/((3e)^3) ?
The solution to ((-15e)^3)/((3e)^3) is -125