Question

Use rational exponents to write ∛x * ∜2x as a single radical expression.

Answer 1

I got this far\[x ^{1/3}*2^{1/4}*x ^{1/4}\] (I'm not sure if I'm doing this right :(

Answer 2

That's very good. When you are multiplying, if the bases are the same, you add the exponents.

Answer 3

\[\sqrt[12]{8x^7}\]

Answer 4

12rad(x)^7 4rad(2)

Answer 5

\[x ^{1/3}x ^{1/4}=x ^{1/3+1/4}=x ^{7/12}\]

Answer 6

also 2^1/4 =2^3/12 so we have a 12th root