What is expand 7(5/2+1/2 x)^{-5} ?

The solution to expand 7(5/2+1/2 x)^{-5} is (224)/((x+5)^5)

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expand 7(5/2+1/2 x)^{-5}

expand

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

\frac{224}{( x + 5 ) ^{5}}

Solution steps

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

Apply exponent rule:

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

= 7 \cdot \frac{1}{( \frac{1}{2} x + \frac{5}{2} ) ^{5}}

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

= 7 \cdot \frac{2 ^{5}}{( x + 5 ) ^{5}}

Multiply fractions:

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

= \frac{2 ^{5} \cdot 7}{( 5 + x ) ^{5}}

2^{5} \cdot 7 = 224

= \frac{224}{( 5 + x ) ^{5}}

\frac{4 ^{x}}{9 ^{x}}

e^{4 t} \cdot e^{12 t}

- 3.19 (1.58 \cdot 1 0^{- 30}) (4105)

1 \cdot (\frac{1}{16})^{- 1.7}

2 \cdot π \cdot 1 0^{7} \cdot 33.2 \cdot 1 0^{- 9}

What is expand 7(5/2+1/2 x)^{-5} ?
The solution to expand 7(5/2+1/2 x)^{-5} is (224)/((x+5)^5)