What is (5a^{2/3})(4a^{3/2}) ?

The solution to (5a^{2/3})(4a^{3/2}) is 20a^{13/6}

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simplify (5a^{2/3})(4a^{3/2})

simplify

(5 a^{\frac{2}{3}}) (4 a^{\frac{3}{2}})

20 a^{\frac{13}{6}}

Solution steps

(5 a^{\frac{2}{3}}) (4 a^{\frac{3}{2}})

Apply exponent rule:

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

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

= 5 \cdot 4 a^{\frac{2}{3} + \frac{3}{2}}

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

= 5 \cdot 4 a^{\frac{13}{6}}

Multiply the numbers:

5 \cdot 4 = 20

= 20 a^{\frac{13}{6}}

15 X^{2} Y Z^{2} (5 X^{2} Y + 6 X Y^{2} - 3 Y Z^{5})

(- 4)^{2} \cdot (- 2)^{5} \cdot (- \frac{1}{2})

(\frac{( 12 )}{( 23 ) ^{2}})^{2}^{2}^{2}

1.73 \cdot 1 0^{- 5}

What is (5a^{2/3})(4a^{3/2}) ?
The solution to (5a^{2/3})(4a^{3/2}) is 20a^{13/6}