Question

Simplify the following expression, and rewrite it in an equivalent form with positive exponents.

-30x^4y^-4 / 120x^2y^-4
This is in the form of a fraction. Thank you for your help.

Answer 1

-30x^4y^-4 / 120x^2y^-4 = -30x^4/120x^2
= -x^4/4x^2 = -x^2/4

Answer 2

So the ys canceled out. ok. Thank you for your help. Can I put another question under this one like a thread?

Answer 3

yea sure..

Answer 4

(-33x^-2y^2 / 165x^-1)^3

I am going to work it out and could you let me know if it is right or where I messed up?

Short answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
=-33^3(x^-2)^3(y^2)^3 / 165^3(x^-1)^3
=-35937x^-6y^6 / 4492125x^-3
=-1/125*x^(-6- -3)*y^6
=-1/125x^-3y^6

Answer 5

that's right!

Answer 6

Wow, ok Thank you ok I have more I need help on. I will type it up, give me a minute.

Answer 7

Short answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.

(-33xy^-1 / 66x^0y^-3)^2

This is my work:
=-33^2x^2(y^-1)^2 / 66^2(x^0=1=1^2)(y^-3)^2
=1089x^2y^(-1-2) / 4356*1y^(-3-2)
=1089x^2y^-3 / 4356y^-5

I do not know how to make them positive, can you help me?