Simplify. Write the answer with all variables in the numerator.
xx (x^2) ^-2 (x^2)(x^-3y^0)^5
Simplify the following:
(x x x^2 (y^0/x^3)^5)/((x^2)^2)
x x = x^2:
(x^2 x^2 (y^0/x^3)^5)/((x^2)^2)
Multiply exponents. (x^2)^2 = x^(2×2):
(x^2 x^2 (y^0/x^3)^5)/(x^(2×2))
2×2 = 4:
(x^2 x^2 (y^0/x^3)^5)/(x^4)
y^0 = 1:
(x^2 x^2 (1/x^3)^5)/(x^4)
Multiply exponents. (x^(-3))^5 = x^(-3×5):
(x^2 x^2 x^(-3×5))/x^4
-3×5 = -15:
(x^2 x^2 x^-15)/x^4
Combine powers. x^2/x^15 = x^(2-15):
(x^2 x^2-15)/x^4
2-15 = -13:
(x^2 x^-13)/x^4
Combine powers. x^2/(x^13 x^4) = x^(2-4-13):
x^2-4-13
2-4-13 = -15:
Answer: | x^-15
1-They are exactly the same.
2- Your question says "Write the answer with all variables in the numerator."
Nothing is wrong with leaving it in the numerator KatieLeigh,
BUT normally it would be rewritten as xvxvxv first presented it. I would consider it more 'simple' if it is written as a fraction.
Guest was right though - the question specifically asked for it all to be left in the numerator :)