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Popular >

simplify sqrt(s\sqrt{s^9)}

Solution

simplify

s s^{9}

Solution

Solution steps

s s^{9}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

s s^{9} = s s^{9}

= s s^{9}

Simplify

Simplify

= s^{\frac{3}{4}} s^{2}

Apply exponent rule:

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

s^{\frac{3}{4}} s^{2} = s^{\frac{3}{4} + 2}

= s^{\frac{3}{4} + 2}

\frac{3}{4} + 2 = \frac{11}{4}

= s^{\frac{11}{4}}

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Frequently Asked Questions (FAQ)

What is sqrt(s\sqrt{s^9)} ?
The solution to sqrt(s\sqrt{s^9)} is \sqrt[4]{s^{11}}