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Popular >

simplify (sqrt(x/3))^3

Solution

simplify

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

Solution

\frac{x \frac{x}{3}}{3}

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

= \frac{x}{3} \frac{x}{3}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x \frac{x}{3}}{3}

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Frequently Asked Questions (FAQ)

What is (sqrt(x/3))^3 ?
The solution to (sqrt(x/3))^3 is (xsqrt(x/3))/3