What is (sqrt(9x)-1/(3sqrt(x)))^4 ?

The solution to (sqrt(9x)-1/(3sqrt(x)))^4 is ((9x-1)^4)/(81x^2)

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simplify (sqrt(9x)-1/(3sqrt(x)))^4

simplify

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

\frac{( 9 x - 1 ) ^{4}}{81 x ^{2}}

Solution steps

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

Simplify

9 x - \frac{1}{3 x} : \frac{9 x - 1}{3 x}

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

Apply exponent rule:

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

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

Simplify

(3 x)^{4} : 81 x^{2}

= \frac{( 9 x - 1 ) ^{4}}{81 x ^{2}}

\frac{50}{2}

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

\frac{2}{3} \times 9

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

(6 - 9) (2 - 5)

What is (sqrt(9x)-1/(3sqrt(x)))^4 ?
The solution to (sqrt(9x)-1/(3sqrt(x)))^4 is ((9x-1)^4)/(81x^2)