What is (2sqrt(x))(4\sqrt[3]{x}) ?

The solution to (2sqrt(x))(4\sqrt[3]{x}) is 8x^{5/6}

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simplify (2sqrt(x))(4\sqrt[3]{x})

simplify

8 x^{\frac{5}{6}}

Solution steps

Apply exponent rule:

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

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

x^{\frac{1}{2} + \frac{1}{3}} = x^{\frac{5}{6}}

= 2 \cdot 4 x^{\frac{5}{6}}

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{\frac{5}{6}}

f (x) = \frac{e ^{x}}{e ^{3 x}}

(6 x^{2}) (4 x^{2})

6 (1 - 5)^{2}

- 2 e^{- x^{2}} x

e^{- 2^{2}}

What is (2sqrt(x))(4\sqrt[3]{x}) ?
The solution to (2sqrt(x))(4\sqrt[3]{x}) is 8x^{5/6}