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Popular >

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

Solution

simplify

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

Solution

x^{\frac{7}{2}}

Solution steps

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

Apply rule:

(a) = a

(x^{3}) = x^{3}

= x^{\frac{1}{2}} x^{3}

Apply exponent rule:

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

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

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

\frac{1}{2} + 3 = \frac{7}{2}

= x^{\frac{7}{2}}

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Frequently Asked Questions (FAQ)

What is x^{1/2}(x^3) ?
The solution to x^{1/2}(x^3) is x^{7/2}