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Popular >

simplify sqrt(x)\sqrt[4]{x}

Solution

simplify

Solution

Solution steps

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

= x^{\frac{1}{2}} x^{\frac{1}{4}}

Apply exponent rule:

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

x^{\frac{1}{2}} x^{\frac{1}{4}} = x^{\frac{1}{2} + \frac{1}{4}}

= x^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

= x^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is sqrt(x)\sqrt[4]{x} ?
The solution to sqrt(x)\sqrt[4]{x} is \sqrt[4]{x^3}