What is (sqrt(2/(3x)))^4 ?

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

Popular >

simplify (sqrt(2/(3x)))^4

simplify

(\frac{2}{3 x})^{4}

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

Solution steps

(\frac{2}{3 x})^{4}

Rewrite

4

2 \cdot 2

= (\frac{2}{3 x})^{2 \cdot 2}

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

(\frac{2}{3 x})^{2 \cdot 2} = (\frac{2}{3 x})^{2}^{2}

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

Apply exponent rule:

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

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

2^{2} = 4

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

Simplify

(3 x)^{2} : 9 x^{2}

= \frac{4}{9 x ^{2}}

\frac{tan ^{2} ( x )}{sec ( x ) - 1}

20 f - 4 (5 f + 4) + 16

\frac{( x + 1 - 1 )}{x}

\frac{1 - x}{1 - x}

\frac{x ^{2} + 3 x + 2}{x ^{2} + 4 x + 4}