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

The solution to sqrt((5^{n+3)-5^{n+2})/(5^n)} is 10

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

simplify

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

10

Solution steps

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

\frac{5 ^{n + 3} - 5 ^{n + 2}}{5 ^{n}} = 5^{2} \cdot 4

= 5^{2} \cdot 4

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 4 5^{2}

Apply radical rule:

assuming

a \geq 0

5^{2} = 5

= 54

4 = 2

= 5 \cdot 2

Multiply the numbers:

5 \cdot 2 = 10

= 10

\frac{x}{\frac{2}{3}}

i^{121}

12 X + 4 [6 - (3 X + 2)]

81 \cdot \frac{1}{3}

7 y (27 y + 5 12 y)

What is sqrt((5^{n+3)-5^{n+2})/(5^n)} ?
The solution to sqrt((5^{n+3)-5^{n+2})/(5^n)} is 10