What is a^{-2}b^6c^{1/2}d^{-4/5}e ?

The solution to a^{-2}b^6c^{1/2}d^{-4/5}e is (eb^6c^{1/2})/(a^2d^{4/5)}

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simplify a^{-2}b^6c^{1/2}d^{-4/5}e

simplify

a^{- 2} b^{6} c^{\frac{1}{2}} d^{- \frac{4}{5}} e

\frac{e b ^{6} c ^{\frac{1}{2}}}{a ^{2} d ^{\frac{4}{5}}}

Solution steps

a^{- 2} b^{6} c^{\frac{1}{2}} d^{- \frac{4}{5}} e

Apply exponent rule:

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

= e \frac{1}{a ^{2}} b^{6} c^{\frac{1}{2}} d^{- \frac{4}{5}}

Apply exponent rule:

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

= e \frac{1}{a ^{2}} \cdot \frac{1}{d ^{\frac{4}{5}}} b^{6} c^{\frac{1}{2}}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot b ^{6} c ^{\frac{1}{2}} e}{a ^{2} d ^{\frac{4}{5}}}

Multiply:

1 \cdot 1 \cdot b^{6} c^{\frac{1}{2}} e = b^{6} c^{\frac{1}{2}} e

= \frac{e b ^{6} c ^{\frac{1}{2}}}{a ^{2} d ^{\frac{4}{5}}}

4 m^{4} (n^{7} m)

(1 - 2)^{2}

(x - 4) (3 x^{2} + 4 x - 4) (x - 4) (3 x^{2} + 4 x - 4)

\frac{t}{2} e^{- (\frac{t - 2}{2})} u (\frac{t - 2}{2})

What is a^{-2}b^6c^{1/2}d^{-4/5}e ?
The solution to a^{-2}b^6c^{1/2}d^{-4/5}e is (eb^6c^{1/2})/(a^2d^{4/5)}