What is ((x^2+1)/((3x)))^n ?

The solution to ((x^2+1)/((3x)))^n is ((x^2+1)^n)/(3^nx^n)

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simplify ((x^2+1)/((3x)))^n

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply exponent rule:

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

(3 x)^{n} = 3^{n} x^{n}

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

8 x^{3} - 2 x y^{2}

z^{3} - 216

2 (x + h)^{2} - 2 x^{2}

f (2) - g \frac{( x )}{f} (x)

55 m + 33 n

What is ((x^2+1)/((3x)))^n ?
The solution to ((x^2+1)/((3x)))^n is ((x^2+1)^n)/(3^nx^n)