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

The solution to (4x^{2/3})(5x^{1/2}) is 20x^{7/6}

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

simplify

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

20 x^{\frac{7}{6}}

Solution steps

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

Apply exponent rule:

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

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

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

x^{\frac{2}{3} + \frac{1}{2}} = x^{\frac{7}{6}}

= 4 \cdot 5 x^{\frac{7}{6}}

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{\frac{7}{6}}

7 x 1 0^{- 9}

10 e^{- 0.0256 (5)}

8.5 \times 1 0^{- 6}

- 8 e^{- t}

(271.19) (183 \cdot 1 0^{- 3})

What is (4x^{2/3})(5x^{1/2}) ?
The solution to (4x^{2/3})(5x^{1/2}) is 20x^{7/6}