Question 1010179
if the variable with the negative exponent is in the numerator, then place it in the denominator and make the exponent positive.


if the variable with the negative exponent is in the denominator, then place it in the numnerator and make the exponent positive.


your equation is {{{((8 * x^6 * y^6) / (4 * x^3 * y^12))^2}}}


this is equivalent to {{{((8/4) * (x^6)/(x^3) * (y^6)/(y^12))^2}}}


simplify using the law of exponents that says that {{{(x^a)/(x^b) = x^(a-b)}}} to get:


{{{(2 * x^3 * y^-6)^2}}}


use the law of exponents that says that {{{x^(-a) = 1/x^a}}} to get:


{{{(2 * x^3 * 1/y^6)^2}}}


this is the same as {{{(2*x^3/y^6)^2}}}


simplify to get:


{{{(2*x^3/y^6)^2}}} = {{{(2^2*(x^3)^2)/(y^6)^2}}} = {{{4*x^6/y^12}}}


the other law of exponents that is used is:


{{{(x^a*x^b)^c = x^(ac)*x^(bc)}}}