en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{2 ^{n}}{n ^{\frac{n}{2}}}

Solution steps

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

Apply exponent rule:

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

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

Add the numbers:

1 + 1 = 2

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

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

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

Popular Examples

expand (a^2+a)^{31}expand

(a^{2} + a)^{31}

simplify (((e^x-1))/x)^2 simplify

(\frac{( e ^{x} - 1 )}{x})^{2}

simplify c^2-4(2^{1/2})c+16 simplify

c^{2} - 4 (2^{\frac{1}{2}}) c + 16

factor y^2+3y+3xy+9x factor

y^{2} + 3 y + 3 x y + 9 x

factor t^3+t^2-4t-64 factor

t^{3} + t^{2} - 4 t - 64

Frequently Asked Questions (FAQ)

What is ((1+1)/(sqrt(n)))^n ?
The solution to ((1+1)/(sqrt(n)))^n is (2^n)/(n^{n/2)}