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

The solution to (3x^{2/3})(4x^{3/2}) is 12x^{13/6}

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

simplify

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

12 x^{\frac{13}{6}}

Solution steps

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

Apply exponent rule:

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

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

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

x^{\frac{2}{3} + \frac{3}{2}} = x^{\frac{13}{6}}

= 3 \cdot 4 x^{\frac{13}{6}}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{\frac{13}{6}}

3 (x^{2} y^{2})

(2 e^{- a x}) d x

23850 \cdot e^{- 0.1373 \cdot 13}

25 x x

e^{- 4 x} (2 e^{- 2 x} - e^{- x})

What is (3x^{2/3})(4x^{3/2}) ?
The solution to (3x^{2/3})(4x^{3/2}) is 12x^{13/6}