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Popular >

simplify (x^{3/4})(x^{1/2})

Solution

simplify

(x^{\frac{3}{4}}) (x^{\frac{1}{2}})

Solution

x^{\frac{5}{4}}

Solution steps

(x^{\frac{3}{4}}) (x^{\frac{1}{2}})

Simplify

(x^{\frac{3}{4}}) (x^{\frac{1}{2}}) : x^{\frac{3}{4}} x^{\frac{1}{2}}

= x^{\frac{3}{4}} x^{\frac{1}{2}}

Apply exponent rule:

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

x^{\frac{3}{4}} x^{\frac{1}{2}} = x^{\frac{3}{4} + \frac{1}{2}}

= x^{\frac{3}{4} + \frac{1}{2}}

\frac{3}{4} + \frac{1}{2} = \frac{5}{4}

= x^{\frac{5}{4}}

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Frequently Asked Questions (FAQ)

What is (x^{3/4})(x^{1/2}) ?
The solution to (x^{3/4})(x^{1/2}) is x^{5/4}