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

The solution to (3x^{2/3})(4x^{3/4}) is 12x^{17/12}

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

simplify

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

12 x^{\frac{17}{12}}

Solution steps

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

Apply exponent rule:

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

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

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

x^{\frac{2}{3} + \frac{3}{4}} = x^{\frac{17}{12}}

= 3 \cdot 4 x^{\frac{17}{12}}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{\frac{17}{12}}

(10 + 7) (10 + 7)

π (x)^{2}

(1 + 2) (1 + 2)

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

(1 - x)^{- \frac{1}{7}}

What is (3x^{2/3})(4x^{3/4}) ?
The solution to (3x^{2/3})(4x^{3/4}) is 12x^{17/12}