What is \sqrt[n^2]{(1+7/n)^3} ?

The solution to \sqrt[n^2]{(1+7/n)^3} is (7/n+1)^{3/(n^2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[n^2]{(1+7/n)^3}

simplify

(\frac{7}{n} + 1)^{\frac{3}{n ^{2}}}

Solution steps

Apply radical rule:

= ((1 + \frac{7}{n})^{3})^{\frac{1}{n ^{2}}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (1 + \frac{7}{n})^{3 \cdot \frac{1}{n ^{2}}}

Simplify

3 \cdot \frac{1}{n ^{2}} : \frac{3}{n ^{2}}

= (1 + \frac{7}{n})^{\frac{3}{n ^{2}}}

= (\frac{7}{n} + 1)^{\frac{3}{n ^{2}}}

C^{\circ} r d I^{9} h z E^{906} L E h h^{9} h

e^{- a t} sin (wt) s t e p (t - 1)

1200 \cdot \frac{( 0.005 ) ^{2}}{4} \cdot π \cdot 0.8 \cdot π \cdot 4

π (9 0^{2}) (1 0^{- 6}) (29.17)

6.67 \cdot 1 0^{- 11} \cdot 40 \cdot 120

What is \sqrt[n^2]{(1+7/n)^3} ?
The solution to \sqrt[n^2]{(1+7/n)^3} is (7/n+1)^{3/(n^2)}