What is (((a^{(3)}))/(((a^{(3))b)^{(2)})})^{(2)} ?

The solution to (((a^{(3)}))/(((a^{(3))b)^{(2)})})^{(2)} is 1/(a^6b^4)

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simplify (((a^{(3)}))/(((a^{(3))b)^{(2)})})^{(2)}

simplify

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

\frac{1}{a ^{6} b ^{4}}

Solution steps

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

Apply exponent rule:

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

= \frac{( a ^{3} ) ^{2}}{( ( a ^{3} b ) ^{2} ) ^{2}}

Simplify

(a^{3})^{2} : a^{6}

= \frac{a ^{6}}{( ( a ^{3} b ) ^{2} ) ^{2}}

Simplify

((a^{3} b)^{2})^{2} : a^{12} b^{4}

= \frac{a ^{6}}{a ^{12} b ^{4}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{a ^{6}}{a ^{12}} = \frac{1}{a ^{12 - 6}}

= \frac{1}{b ^{4} a ^{12 - 6}}

Subtract the numbers:

12 - 6 = 6

= \frac{1}{a ^{6} b ^{4}}

4 x \cdot 9 x^{\frac{1}{2}}

3 w^{2} - 6 w + 2 = 0

1 - 0.7 x + 0.2 x^{2} = 0

2 (\frac{2}{3})

(x^{6})^{\frac{1}{3}}

What is (((a^{(3)}))/(((a^{(3))b)^{(2)})})^{(2)} ?
The solution to (((a^{(3)}))/(((a^{(3))b)^{(2)})})^{(2)} is 1/(a^6b^4)