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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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