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Popular >

simplify 5((1+1)/n)^n

Solution

simplify

5 (\frac{1 + 1}{n})^{n}

Solution

\frac{5 \cdot 2 ^{n}}{n ^{n}}

Solution steps

5 (\frac{1 + 1}{n})^{n}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

(\frac{1 + 1}{n})^{n} = (\frac{1 + 1}{n})^{n}

= 5 (\frac{1 + 1}{n})^{n}

Add the numbers:

1 + 1 = 2

= 5 (\frac{2}{n})^{n}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{2}{n})^{n} = \frac{2 ^{n}}{n ^{n}}

= 5 \cdot \frac{2 ^{n}}{n ^{n}}

Apply the fraction rule:

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

= \frac{5 \cdot 2 ^{n}}{n ^{n}}

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Frequently Asked Questions (FAQ)

What is 5((1+1)/n)^n ?
The solution to 5((1+1)/n)^n is (5*2^n)/(n^n)