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

The solution to (5x^{1/4})(3x^{1/2}) is 15x^{3/4}

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simplify (5x^{1/4})(3x^{1/2})

simplify

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

15 x^{\frac{3}{4}}

Solution steps

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

Apply exponent rule:

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

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

= 5 \cdot 3 x^{\frac{1}{4} + \frac{1}{2}}

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

= 5 \cdot 3 x^{\frac{3}{4}}

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{\frac{3}{4}}

(2.1 \cdot 1 0^{8}) (3.6 \cdot 1 0^{4})

(40 a^{5}) (11571 a^{3})

5.2 \cdot 1 0^{- 1}

820000 \cdot e^{- 0.15 \cdot 31}

\frac{1}{2} \cdot 2 x \cdot 2 x \cdot sin (4 5^{\circ})

What is (5x^{1/4})(3x^{1/2}) ?
The solution to (5x^{1/4})(3x^{1/2}) is 15x^{3/4}