Question: Power of 5

ammmmmmazing videos!! loved them all!!

Hi Brent!

I stumbled a little bit in the beginning but got to the answer eventually. My question is, in an expression like the one above, would it be fair to equate 5^(3x+1) to 5^1, even with the 4 present?(Assuming that we split 20 into 5 times 4) eg:5^(3x+1) = 5^1 *4^1

hi brent,

so the part where multiplied powers of both sides by 1/3. that was to eliminate 3 from 3x correct?

Hi Brent,

In this question:

What is the cube root of w?

(1) The 5th root of w is 64.
(2) The 15th root of w is 4.

Do we really have to solve equation 1 and 2 to get the answer? Or just by looking at the equations, we know that since the 5th and 15th root of w is given, it should be possible to find the cube root of w and both equations 1 & 2 should suffice?

I want to confirm if we have to solve this to prove it or if we can just see the statements and directly choose answer D.