What is (3x^{1/3})(4x^{1/6}) ?

The solution to (3x^{1/3})(4x^{1/6}) is 12x^{1/2}

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simplify (3x^{1/3})(4x^{1/6})

simplify

(3 x^{\frac{1}{3}}) (4 x^{\frac{1}{6}})

12 x^{\frac{1}{2}}

Solution steps

(3 x^{\frac{1}{3}}) (4 x^{\frac{1}{6}})

Apply exponent rule:

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

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

= 3 \cdot 4 x^{\frac{1}{3} + \frac{1}{6}}

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

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

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{\frac{1}{2}}

e^{- 3.36}

a^{2} + b^{2} c^{2} + d^{2}

6.3 \cdot 1 0^{- 8}

3.2 \cdot 1 0^{- 9}

3.2 \cdot 1 0^{- 1}

What is (3x^{1/3})(4x^{1/6}) ?
The solution to (3x^{1/3})(4x^{1/6}) is 12x^{1/2}