What is (1/(3(x-1)^{2/3)})^2 ?

The solution to (1/(3(x-1)^{2/3)})^2 is 1/(9(x-1)^{4/3)}

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simplify (1/(3(x-1)^{2/3)})^2

simplify

(\frac{1}{3 ( x - 1 ) ^{\frac{2}{3}}})^{2}

\frac{1}{9 ( x - 1 ) ^{\frac{4}{3}}}

Solution steps

(\frac{1}{3 ( x - 1 ) ^{\frac{2}{3}}})^{2}

Apply exponent rule:

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

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

1^{2} = 1

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

(3 (x - 1)^{\frac{2}{3}})^{2} = 3^{2} (x - 1)^{\frac{4}{3}}

= \frac{1}{3 ^{2} ( x - 1 ) ^{\frac{4}{3}}}

3^{2} = 9

= \frac{1}{9 ( x - 1 ) ^{\frac{4}{3}}}

2 \cdot 1 0^{4} + 3 \cdot 1 0^{4}

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

(2 x + 3)^{2} - (2 x - 3)^{2}

x^{3} - (x^{2} - 3 x) (x + 3)

What is (1/(3(x-1)^{2/3)})^2 ?
The solution to (1/(3(x-1)^{2/3)})^2 is 1/(9(x-1)^{4/3)}