What is (3y^{5/6})(8y^{2/3}) ?

The solution to (3y^{5/6})(8y^{2/3}) is 24y^{3/2}

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simplify (3y^{5/6})(8y^{2/3})

simplify

(3 y^{\frac{5}{6}}) (8 y^{\frac{2}{3}})

24 y^{\frac{3}{2}}

Solution steps

(3 y^{\frac{5}{6}}) (8 y^{\frac{2}{3}})

Apply exponent rule:

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

y^{\frac{5}{6}} y^{\frac{2}{3}} = y^{\frac{5}{6} + \frac{2}{3}}

= 3 \cdot 8 y^{\frac{5}{6} + \frac{2}{3}}

y^{\frac{5}{6} + \frac{2}{3}} = y^{\frac{3}{2}}

= 3 \cdot 8 y^{\frac{3}{2}}

Multiply the numbers:

3 \cdot 8 = 24

= 24 y^{\frac{3}{2}}

e^{- n x}

(t + 1) e^{- a (t + 1)}

3 e^{4} \cdot 5 e^{4}

e^{- \frac{23}{10}}

e^{- 800}

What is (3y^{5/6})(8y^{2/3}) ?
The solution to (3y^{5/6})(8y^{2/3}) is 24y^{3/2}