simplify the following expression using only positive exponents X^2 y^8 / (x^6y)^2?

Favorite Answer

x² y⁸
--------
(x⁶ y)²

1) Clear the parentheses by raising all the powers on the inside to the power on the outside
You raise a power to a power by multiplying the exponents.
After you have cleared the parentheses, you have this:
x² y⁸
--------
x¹² y²

2) Cancel factors that appear in common in the top and the bottom.
After you cancel two x's and two y's, you end up with this:
y⁶
----- <-- answer
x¹⁰

Answer
y⁶ / x¹⁰...Show more

x^2y^8 / (x^6y)^2
x^2y^8 x (x^6y)^-2
(x^2y^8) x (x^-12y^-2)
(x^(2 - 12)) x (y^(8 - 2))
x^-10 x y^6
so,
y^6 / x^10...Show more

x^2y^8 / (x^6y)^2

x^2y^8 * (x^6y)^-2

x^2y^8 * x^-12y^-2

x^(2 - 12) * y^(8 - 2)

x^-10 * y^6

y^6 / x^10...Show more