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Popular >

simplify (n^{1/3})^{3/2}

Solution

simplify

(n^{\frac{1}{3}})^{\frac{3}{2}}

Solution

n^{\frac{1}{2}}

Solution steps

(n^{\frac{1}{3}})^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= n^{\frac{1}{3} \cdot \frac{3}{2}}

Cross-cancel:

3

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

Popular Examples

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(5x+2)/(x-10)>= 3

\frac{5 x + 2}{x - 10} \geq 3

Frequently Asked Questions (FAQ)

What is (n^{1/3})^{3/2} ?
The solution to (n^{1/3})^{3/2} is n^{1/2}