What is (375(1-(1/5)^{200}))/(1-1/5) ?

The solution to (375(1-(1/5)^{200}))/(1-1/5) is (3(5^{200}-1))/(5^{196)*4}

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simplify (375(1-(1/5)^{200}))/(1-1/5)

simplify

\frac{375 ( 1 - ( \frac{1}{5} ) ^{200} )}{1 - \frac{1}{5}}

\frac{3 ( 5 ^{200} - 1 )}{5 ^{196} \cdot 4}

Decimal Notation

468.75

Solution steps

\frac{375 ( 1 - ( \frac{1}{5} ) ^{200} )}{1 - \frac{1}{5}}

Simplify

375 (1 - (\frac{1}{5})^{200}) : \frac{3 ( 5 ^{200} - 1 )}{5 ^{197}}

= \frac{\frac{3 ( 5 ^{200} - 1 )}{5 ^{197}}}{1 - \frac{1}{5}}

1 - \frac{1}{5} = \frac{4}{5}

= \frac{\frac{3 ( 5 ^{200} - 1 )}{5 ^{197}}}{\frac{4}{5}}

Apply the fraction rule:

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

= \frac{3 ( 5 ^{200} - 1 ) \cdot 5}{5 ^{197} \cdot 4}

Cancel

\frac{3 ( 5 ^{200} - 1 ) \cdot 5}{5 ^{197} \cdot 4} : \frac{3 ( 5 ^{200} - 1 )}{5 ^{196} \cdot 4}

= \frac{3 ( 5 ^{200} - 1 )}{5 ^{196} \cdot 4}

4 x^{2} - 20 x + 9 = 0

256 x^{2} - 196 y^{2}

∣ - 4 + p ∣ + 3 = 13

i^{94}

\frac{3 ^{2}}{- 2}

What is (375(1-(1/5)^{200}))/(1-1/5) ?
The solution to (375(1-(1/5)^{200}))/(1-1/5) is (3(5^{200}-1))/(5^{196)*4}