What is (3/x+x/3)^{11} ?

The solution to (3/x+x/3)^{11} is ((9+x^2)^{11})/(177147x^{11)}

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simplify (3/x+x/3)^{11}

simplify

(\frac{3}{x} + \frac{x}{3})^{11}

\frac{( 9 + x ^{2} ) ^{11}}{177147 x ^{11}}

Solution steps

(\frac{3}{x} + \frac{x}{3})^{11}

Join

\frac{3}{x} + \frac{x}{3} : \frac{9 + x ^{2}}{3 x}

= (\frac{9 + x ^{2}}{3 x})^{11}

Apply exponent rule:

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

= \frac{( 9 + x ^{2} ) ^{11}}{( 3 x ) ^{11}}

Simplify

(3 x)^{11} : 177147 x^{11}

= \frac{( 9 + x ^{2} ) ^{11}}{177147 x ^{11}}

i^{335}

\frac{\frac{1}{8} \cdot 1 0 ^{- 2}}{\frac{5}{16} \cdot 1 0 ^{- 4}}

sin^{2} (x) - 1

\frac{cos ( 2 x )}{cos ( x )}

tan (x) csc (x)

What is (3/x+x/3)^{11} ?
The solution to (3/x+x/3)^{11} is ((9+x^2)^{11})/(177147x^{11)}