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.