What is 1.6(1+x/(2.5))^{-5} ?

The solution to 1.6(1+x/(2.5))^{-5} is (5000)/((5+2x)^5)

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simplify 1.6(1+x/(2.5))^{-5}

simplify

1.6 (1 + \frac{x}{2.5})^{- 5}

\frac{5000}{( 5 + 2 x ) ^{5}}

Solution steps

1.6 (1 + \frac{x}{2.5})^{- 5}

Apply exponent rule:

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

(1 + \frac{x}{2.5})^{- 5} = \frac{1}{( 1 + \frac{x}{2.5} ) ^{5}}

= 1.6 \cdot \frac{1}{( 1 + \frac{x}{2.5} ) ^{5}}

Simplify

(1 + \frac{x}{2.5})^{5} : \frac{( 5 + 2 x ) ^{5}}{3125}

= 1.6 \cdot \frac{1}{\frac{( 5 + 2 x ) ^{5}}{3125}}

Apply the fraction rule:

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

= 1.6 \cdot \frac{3125}{( 5 + 2 x ) ^{5}}

Apply the fraction rule:

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

= \frac{1.6 \cdot 3125}{( 5 + 2 x ) ^{5}}

Multiply the numbers:

1.6 \cdot 3125 = 5000

= \frac{5000}{( 5 + 2 x ) ^{5}}

(5.36 \cdot 1 0^{136}) (6.49 \cdot 1 0^{- 140})

\frac{x ^{3}}{( x ^{2} + 1 ) ^{3}}

750000 \cdot e^{- 0.05 \cdot 5}

1101100100 \cdot 1 0^{- 10}

What is 1.6(1+x/(2.5))^{-5} ?
The solution to 1.6(1+x/(2.5))^{-5} is (5000)/((5+2x)^5)