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Popular >

simplify x^2\times x^{-1/2}

Solution

simplify

x^{2} \cdot x^{- \frac{1}{2}}

Solution

x^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

What is x^2\times x^{-1/2} ?
The solution to x^2\times x^{-1/2} is x^{3/2}