(x^2y^5)^3

Question

How do I solve this?

 

 

Answer 1

Think of it in terms of what raising something to the third power means - multiplying by itself three times.

 

So, (x²y⁵)³ =

x²y⁵*x²y⁵*x²y⁵ =

x⁶y¹⁵

 

More generally, nested exponents like this will multiply, as you can see happens here.  The 2nd power on the x is multiplied by 3 to get a sixth power, while the 5th power on the y is multiplied by 3 to get a fifteenth power.