Question

Simplify: (5a^2/3)(4a^3/2)

Answer 1

No, they're multiplied not divided. Other than that, yes

Answer 2

RIght,

Answer 3

\[\Large 20a^\frac{13}{6}\]

Answer 4

\[\Large \left(5a^{\frac{2}{3}}\right)\left(4a^{\frac{3}{2}}\right)\]



\[\Large \left(5 \times 4\right)\left(a^{\frac{2}{3}}\times a^{\frac{3}{2}}\right)\]



\[\Large 20a^{\left(\frac{2}{3}+\frac{3}{2}\right)}\]



\[\Large 20a^{\frac{13}{6}}\]

So \[\Large \left(5a^{\frac{2}{3}}\right)\left(4a^{\frac{3}{2}}\right)=20a^{\frac{13}{6}}\]

Answer 5

Thank you for the steps, that helps a lot!