Question

Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents. (24y^-1 / 72x^-3y^4)^2

Answer 1

can anyone help on this problem?

Answer 2

I'm not sure what the first part of the question is asking, since the quantity in parentheses is already raised to an exponent

Answer 3

I can simplify it from there though

Answer 4

(24y^-1 / 72x^-3y^4)^2

outside exponent first: (24y^-1)^2 / (72x^-3y^4)^2
simplify: (24^2)*(y^(-1*2)) / (72^2)*(x^(-3*2)*(y^4*2)))
simplify more: 576*y^-2 / 5184*x^(-6*y^8)
negative exponents go from bottom of the fraction to the top and vice versa and go positive (ex. x^-2 / 6 = 1 / 6*x^2)
so: 576*x^6y^8 / 5184*y^2
then simplify 576 / 5184 which is 1 / 9
so x^6y^8 / 9*y^2 is the final answer

\[{x ^{6y ^{8}}}\div9y ^{2}\]