What is ((3x^{1/2})/(15))^2 ?

The solution to ((3x^{1/2})/(15))^2 is x/(25)

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simplify ((3x^{1/2})/(15))^2

simplify

(\frac{3 x ^{\frac{1}{2}}}{15})^{2}

\frac{x}{25}

Solution steps

(\frac{3 x ^{\frac{1}{2}}}{15})^{2}

Apply exponent rule:

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

= \frac{( 3 x ^{\frac{1}{2}} ) ^{2}}{1 5 ^{2}}

Simplify

(3 x^{\frac{1}{2}})^{2} : 9 x

= \frac{9 x}{1 5 ^{2}}

1 5^{2} = 225

= \frac{9 x}{225}

Cancel the common factor:

9

= \frac{x}{25}

3 t^{2} - 42 t + 144 = 0

\frac{3}{6} \cdot \frac{1}{2}

15 \cdot \frac{1}{6}

- \frac{3}{4} - \frac{2}{5}

x^{3} - 2 x^{2} + 10 x