What is expand x^6(1-2x)^{-5} ?

The solution to expand x^6(1-2x)^{-5} is (x^6)/((-2x+1)^5)

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expand x^6(1-2x)^{-5}

expand

x^{6} (1 - 2 x)^{- 5}

\frac{x ^{6}}{( - 2 x + 1 ) ^{5}}

Solution steps

x^{6} (1 - 2 x)^{- 5}

Apply exponent rule:

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

= \frac{1}{( - 2 x + 1 ) ^{5}} x^{6}

Multiply fractions:

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

= \frac{1 \cdot x ^{6}}{( 1 - 2 x ) ^{5}}

Multiply:

1 \cdot x^{6} = x^{6}

= \frac{x ^{6}}{( 1 - 2 x ) ^{5}}

- 4 e^{- x}

- \frac{1}{2} e^{- x}

88451.334 \times (1.08)^{- 7}

e^{x} \cdot (- 3) e^{- 3 x}

10 e^{- 7}

What is expand x^6(1-2x)^{-5} ?
The solution to expand x^6(1-2x)^{-5} is (x^6)/((-2x+1)^5)