Question

i dont mean to throw 2 problems at yall but i do not get this whatsoever. can someone help and give a simple step by step?

Answer 1

To answer the first expression we first need to remeber the following rule

`(ab)^n=a^nb^n`

Then

`\begin{gathered} (2x^{(3)/(5)})^2=2^2(x^{(3)/(5)})^2 \\ =4(x^{(3)/(5)})^2 \end{gathered}`

now, we need to remember the rule:

`(a^n)^m=a^(nm)`

hence,

`\begin{gathered} (2x^{(3)/(5)})^2=4(x^{(3)/(5)})^2 \\ =4x^{(3)/(5)\cdot2} \\ =4x^{(6)/(5)} \end{gathered}`

To do the second one we apply the same rules:

`\begin{gathered} (x^{(1)/(4)}\cdot y^{(1)/(3)})^3=(x^{(1)/(4)})^3(y^{(1)/(3)})^3 \\ =x^{(1)/(4)\cdot3}y^{(1)/(3)\cdot3} \\ =x^{(3)/(4)}y^{(3)/(3)} \\ =x^{(3)/(4)}y^1 \\ =x^{(3)/(4)}y \end{gathered}`