What is x^{1/3}*x^{1/3}*x^{1/3} ?

The solution to x^{1/3}*x^{1/3}*x^{1/3} is x

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simplify x^{1/3}x^{1/3}x^{1/3}

simplify

x^{\frac{1}{3}} \cdot x^{\frac{1}{3}} \cdot x^{\frac{1}{3}}

x

Solution steps

x^{\frac{1}{3}} x^{\frac{1}{3}} x^{\frac{1}{3}}

Apply exponent rule:

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

x^{\frac{1}{3}} x^{\frac{1}{3}} x^{\frac{1}{3}} = x^{\frac{1}{3} + \frac{1}{3} + \frac{1}{3}}

= x^{\frac{1}{3} + \frac{1}{3} + \frac{1}{3}}

\frac{1}{3} + \frac{1}{3} + \frac{1}{3} = 1

= x^{1}

Apply exponent rule:

a^{1} = a

= x

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