Question

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

Answer 1

sleeping again?

Answer 2

umm, idk..

Answer 3

pellet!

Answer 4

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

Answer 5

\[(\frac{4a^{5}}{3})^{3/2} = \frac{(4a^{5})^{3/2}}{3^{3/2}} = \frac{4^{3/2}a^{5*3/2}}{3^{3/2}} = \frac{8\sqrt{a^{15}}}{\sqrt{27}}\]

Answer 6

still, is that a^(5/3) or whole thing over 3??

Answer 7

(4a^5)^3 = 64a^15
3^3 = 27
So you have:
64a^15/sqrt(27).
Now take the square root of this due to the fact that it is a exponent over 2.
This gives you a final answer of 8*sqrt(a^15)/3
Hope this helps. If it does, please choose good answer.
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Answer 8

\[4^{\frac{3}{2}}=\sqrt{4^2}=2^3=8\]

Answer 9

and
\[(a^{\frac{5}{3}})^{\frac{3}{2}}=a^{\frac{5}{2}}\]

Answer 10

for a final answer of
\[8a^{\frac{5}{2}}\]