What is (sqrt(x)+y/3)^{12} ?

The solution to (sqrt(x)+y/3)^{12} is ((3sqrt(x)+y)^{12})/(531441)

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simplify (sqrt(x)+y/3)^{12}

simplify

(x + \frac{y}{3})^{12}

\frac{( 3 x + y ) ^{12}}{531441}

Solution steps

(x + \frac{y}{3})^{12}

Simplify

x + \frac{y}{3} : \frac{3 x + y}{3}

= (\frac{3 x + y}{3})^{12}

Apply exponent rule:

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

= \frac{( 3 x + y ) ^{12}}{3 ^{12}}

3^{12} = 531441

= \frac{( 3 x + y ) ^{12}}{531441}

lo g_{2} (4 x y)

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

(3 x + sin (y)) d y

4 y^{2} \cdot (4 y y^{'} (t) - 1)

(\frac{2}{3} a - \frac{1}{3} b)^{2}

What is (sqrt(x)+y/3)^{12} ?
The solution to (sqrt(x)+y/3)^{12} is ((3sqrt(x)+y)^{12})/(531441)