Fully simplify using only positive exponents.
start fraction, 3, x, to the power 4 , y, to the power 8 , divided by, 9, x, to the power 6 , y, to the power 7 , end fraction
9x
6
y
7
3x
4
y
8
To simplify the expression, we can divide the coefficients and divide the variables.
First, divide the coefficients:
3 ÷ 9 = 1/3
Next, divide the variables:
x^4 ÷ x^6 = x^(4-6) = x^(-2) = 1/x^2
y^8 ÷ y^7 = y^(8-7) = y^1 = y
Therefore, the fully simplified expression is:
(1/3)(1/x^2)(y) = 1/3xy^1 = 1/3xy