How would you simplify (4h^(2/3))^3
Many thanks,
Guest
64h^2
Can you explain how you got that answer please?
Note that (a*b)^3 = (a^3)*(b^3)
With a = 4 and b = h^(2/3) we have
(4h^(2/3))^3 → 64 (h^(2/3))^3
Also: (h^b)^c = h^(b*c)
with b = 2/3 and c = 3 we have b*c = 2, so (h^(2/3))^3 → h^2
Hence (4h^(2/3))^3 → 64h^2
My third line above would be better written as:
(4h^(2/3))^3 → 4^3*(h^(2/3))^3 → 64(h^(2/3))^3
You multiply 2/3 x 3 =6/3 =2. So, h = h^2. And 4^3 = 64. So the whole thing becomes: 64h^2.
