Fully simplify using only positive exponents. start fraction, 2, x, to the power 8 , y, squared, divided by, 8, x, to the power 8 , y, to the power 7 , end fraction 8x 8 y 7 2x 8 y 2
To simplify the expression, we can cancel out common factors in the numerator and denominator.
Let's simplify each term individually:
2xy^2 / 8xy^7
First, cancel out the common factors in the numerator and denominator:
2xxy^2 / 8xy^7
Simplify the numerical coefficients:
2xy^2 / 8xy^7 = (1/4) * (xy^2 / xy^7)
Next, cancel out the common variable factors:
(1/4) * (xy^2 / xy^7) = (1/4) * (1 / y^5)
As a final step, combine the remaining terms:
(1/4) * (1 / y^5) = 1 / (4y^5)
So, the fully simplified expression is 1 / (4y^5).