What is sqrt(x)*\sqrt[3]{x}*\sqrt[6]{x} ?

The solution to sqrt(x)*\sqrt[3]{x}*\sqrt[6]{x} is x

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simplify sqrt(x)\sqrt[3]{x}\sqrt[6]{x}

simplify

x

Solution steps

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

= x^{\frac{1}{2}} x^{\frac{1}{3}} x^{\frac{1}{6}}

Apply exponent rule:

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

x^{\frac{1}{2}} x^{\frac{1}{3}} x^{\frac{1}{6}} = x^{\frac{1}{2} + \frac{1}{3} + \frac{1}{6}}

= x^{\frac{1}{2} + \frac{1}{3} + \frac{1}{6}}

\frac{1}{2} + \frac{1}{3} + \frac{1}{6} = 1

= x^{1}

Apply exponent rule:

a^{1} = a

= x

lo g_{10} (5) x^{2} y^{2}

\frac{- 70}{7}

lo g_{10} (x^{4}) y^{- 2} (z + 1)

3 (- 1)^{3} e^{- 1}

What is sqrt(x)*\sqrt[3]{x}*\sqrt[6]{x} ?
The solution to sqrt(x)*\sqrt[3]{x}*\sqrt[6]{x} is x