Fully simplify using only positive exponents.
start fraction, 25, x, to the power 4 , y, squared, divided by, 25, x, to the power 7 , y, cubed, end fraction
25x
7
y
3
25x
4
y
2
To fully simplify this expression, we can use the laws of exponents:
Start with the numerator:
25x^4y^2
Divide by the denominator:
25x^7y^3
Now, let's use the law of exponents that states when dividing like bases, you subtract the exponents:
25x^(4-7) y^(2-3)
Simplifying the exponents:
25x^(-3) y^(-1)
Lastly, since we want only positive exponents, we can bring the negative exponents to the denominator:
25 / (x^3y)