Question

How do you simplify (xy^7)^10

Answer 1

`x^(10)y^(70)`

1) We were told to simplify this expression. So, we'll do it using the properties from the exponents.

2) Let's write it down:

`(xy^7)^(10)`

Note that in this case, we've got to distribute the exponents over each variable, so that will lead to this:

`(xy^7)^(10)=x^(1\cdot10)y^(7\cdot10)=x^(10)y^(70)`

Note that we did this by multiplying each exponent by the outside exponent.