How do you simplify (xy^7)^10

Question

asked Feb 13, 2023 204k views

1 Answer

Yamuk · Answer 1 · 2023-02-18T02:06:55+0000

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:

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.