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Popular >

simplify sqrt(x)*\sqrt[7]{x}

Solution

simplify

Solution

Solution steps

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

= x^{\frac{1}{2}} x^{\frac{1}{7}}

Apply exponent rule:

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

x^{\frac{1}{2}} x^{\frac{1}{7}} = x^{\frac{1}{2} + \frac{1}{7}}

= x^{\frac{1}{2} + \frac{1}{7}}

\frac{1}{2} + \frac{1}{7} = \frac{9}{14}

= x^{\frac{9}{14}}

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Frequently Asked Questions (FAQ)

What is sqrt(x)*\sqrt[7]{x} ?
The solution to sqrt(x)*\sqrt[7]{x} is \sqrt[14]{x^9}