Which of the following is the radical expression of 4d 3/8?

A. 4^8√d^3

B. 4^3√d^8

C. ^8√4d^3

D. ^3√4d^8

Question

Which of the following is the radical expression of 4d 3/8?

A. 4^8√d^3

B. 4^3√d^8

C. ^8√4d^3

D. ^3√4d^8

anonymous · Answer

So, it's a fraction as an exponent, right? $$4d ^{3/8}$$

anonymous · Answer

Yeah

anonymous · Answer

The number on top is the same as raising to a power. In this case 3, but the number in the denominator is the same as taking a root of that same number. So all you are going to do is rewrite it so that you are doing both. Raising it to the power on top and taking the root of the number on the bottom.

anonymous · Answer

The 8th root is on the outside and (4d)^3 is on the inside.

anonymous · Answer

So what option would it be?

anonymous · Answer

One question, did it have $$4d ^{3/8} or (4d)^{3/8}$$

anonymous · Answer

The answer is the one that raises 4d^3 and takes the 8th root of the whole thing. There is only option that does that.