(-x^9 y^7)^3Many people forget that the -x is really a -1x, we just do not write the 1. So, we have to remember to raise a -1 to the 3 power as well as the variables.(-1x^9 y^7)^3Then just do it piece by piece. First start with the -1.(-1)^3 = -1 * -1 * -1 = -1(x^9)^3, when raising a power to another power we multiply the exponents. 9 * 3 = 27, so we get x^27(y^7)^3, multiply exponents again. 7 * 3 = 21, so we get y^21. Put all of that back together...-1x^27 y^21You can choose not to bother writing the -1.-x^27 y^21