What is 2(1+(0.18)/4)^{-5} ?

The solution to 2(1+(0.18)/4)^{-5} is (2*200^5)/(209^5)

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simplify 2(1+(0.18)/4)^{-5}

simplify

2 (1 + \frac{0.18}{4})^{- 5}

\frac{2 \cdot 20 0 ^{5}}{20 9 ^{5}}

Solution steps

2 (1 + \frac{0.18}{4})^{- 5}

Apply exponent rule:

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

(1 + \frac{0.18}{4})^{- 5} = \frac{1}{( 1 + \frac{0.18}{4} ) ^{5}}

= 2 \cdot \frac{1}{( 1 + \frac{0.18}{4} ) ^{5}}

(1 + \frac{0.18}{4})^{5} = \frac{20 9 ^{5}}{20 0 ^{5}}

= 2 \cdot \frac{1}{\frac{20 9 ^{5}}{20 0 ^{5}}}

Apply the fraction rule:

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

= 2 \cdot \frac{20 0 ^{5}}{20 9 ^{5}}

2 \cdot \frac{20 0 ^{5}}{20 9 ^{5}} = \frac{2 \cdot 20 0 ^{5}}{20 9 ^{5}}

= \frac{2 \cdot 20 0 ^{5}}{20 9 ^{5}}

e^{- 0.1 (840)}

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

- e^{- θ} \cdot \frac{1}{2}

4.9 \cdot 1 0^{- 6}

- 3 (3 \frac{2}{7})

What is 2(1+(0.18)/4)^{-5} ?
The solution to 2(1+(0.18)/4)^{-5} is (2*200^5)/(209^5)