What is (2d^5e^{-2})^{-3} ?

The solution to (2d^5e^{-2})^{-3} is (e^6)/(8d^{15)}

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simplify (2d^5e^{-2})^{-3}

simplify

(2 d^{5} e^{- 2})^{- 3}

\frac{e ^{6}}{8 d ^{15}}

Solution steps

(2 d^{5} e^{- 2})^{- 3}

Apply exponent rule:

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

= \frac{1}{( 2 e ^{- 2} d ^{5} ) ^{3}}

(2 d^{5} e^{- 2})^{3} = \frac{2 ^{3} d ^{15}}{e ^{6}}

= \frac{1}{\frac{2 ^{3} d ^{15}}{e ^{6}}}

Apply the fraction rule:

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

= \frac{e ^{6}}{2 ^{3} d ^{15}}

2^{3} = 8

= \frac{e ^{6}}{8 d ^{15}}

f (t) 6 e 4^{t} u (t)

(33) (a 3)

25 - x^{2}

(27 a^{2})^{9 - k}

e^{- 1.4598}

What is (2d^5e^{-2})^{-3} ?
The solution to (2d^5e^{-2})^{-3} is (e^6)/(8d^{15)}