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Popular >

simplify n*n^{1/2}

Solution

simplify

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

Solution

n^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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