Question

How do you simplify `(2x^-6)/(7y^-3)^-3` using only positive exponents?

Answer 1

`686/(x^6y^9)`

Explanation:

Given: `(2x^-6)/(7y^-3)^-3`

Use the exponent rules `x^-n = 1/x^n " and " 1/x^-m = x^m`

And the exponent power rule `(x^m y^n)^c = x^(m*c) y^(n*c)`

`(2x^-6)/(7y^-3)^-3 = 2/(x^6(7^-3 y^9)) = (2*7^3)/(x^6y^9) = (2*343)/(x^6y^9) = 686/(x^6y^9)`