What is (3a^n)^3*(1/3 a^{2n})^3 ?

The solution to (3a^n)^3*(1/3 a^{2n})^3 is a^{9n}

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simplify (3a^n)^3*(1/3 a^{2n})^3

simplify

(3 a^{n})^{3} \cdot (\frac{1}{3} a^{2 n})^{3}

a^{9 n}

Solution steps

(3 a^{n})^{3} (\frac{1}{3} a^{2 n})^{3}

Simplify

(3 a^{n})^{3} : 27 a^{n \cdot 3}

= 27 a^{n \cdot 3} (\frac{1}{3} a^{2 n})^{3}

Simplify

(\frac{1}{3} a^{2 n})^{3} : \frac{1}{27} a^{6 n}

= 27 a^{n \cdot 3} \frac{1}{27} a^{6 n}

Simplify

a^{n \cdot 3} a^{6 n} : a^{9 n}

= 27 a^{9 n} \frac{1}{27}

= \frac{1}{27} \cdot 27 a^{9 n}

Cross-cancel common factor:

27

= a^{9 n}

ln ((2 x e^{β})^{2}) + e^{(β + l n (3 x))}

169 - 144

\frac{x ( x + 3 )}{2 x} \cdot \frac{6 ( x + 2 )}{x ^{2} + 5 x + 6}

csc (x) - sin (x)

- x - y + x y + x^{2}

What is (3a^n)^3*(1/3 a^{2n})^3 ?
The solution to (3a^n)^3*(1/3 a^{2n})^3 is a^{9n}