What is ((5^{n+2}-5^{n+1}))/((5^{n+3))} ?

The solution to ((5^{n+2}-5^{n+1}))/((5^{n+3))} is 4/25

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simplify ((5^{n+2}-5^{n+1}))/((5^{n+3))}

simplify

\frac{( 5 ^{n + 2} - 5 ^{n + 1} )}{( 5 ^{n + 3} )}

\frac{4}{25}

Decimal Notation

0.16

Solution steps

\frac{5 ^{n + 2} - 5 ^{n + 1}}{5 ^{n + 3}}

Factor

5^{n + 2} - 5^{n + 1} : 4 \cdot 5^{1 + n}

= \frac{4 \cdot 5 ^{1 + n}}{5 ^{n + 3}}

Cancel

\frac{4 \cdot 5 ^{1 + n}}{5 ^{n + 3}} : \frac{4}{5 ^{2}}

= \frac{4}{5 ^{2}}

5^{2} = 25

= \frac{4}{25}

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4 w - 2 a

\frac{( - 17 f ^{5} + 6 f ^{4} - 15 f ^{2} )}{f}

What is ((5^{n+2}-5^{n+1}))/((5^{n+3))} ?
The solution to ((5^{n+2}-5^{n+1}))/((5^{n+3))} is 4/25