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Popular >

simplify x^2(x^{1/2})

Solution

simplify

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

Solution

x^{\frac{5}{2}}

Solution steps

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

Apply rule:

(a) = a

(x^{\frac{1}{2}}) = x^{\frac{1}{2}}

= 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{5}{2}

= x^{\frac{5}{2}}

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Frequently Asked Questions (FAQ)

What is x^2(x^{1/2}) ?
The solution to x^2(x^{1/2}) is x^{5/2}