Fully simplify using only positive exponents.
start fraction, 20, x, cubed, y, to the power 5 , divided by, 50, x, squared, y, cubed, end fraction
50x
2
y
3
20x
3
y
5
2x^3 / y^2
that's wrong
I apologize for the mistake. Let's try again.
To simplify the expression fully, we can divide the numerator and denominator by their common factors.
Start with the numerator: 20x^3.
There are no common factors between 20 and x^3, so we leave the numerator as it is.
Now let's simplify the denominator: 50x^2y^3.
We can find the common factors between 50, x^2, and y^3. The largest common factor is 10, so we can divide all three terms by 10 to simplify:
50 / 10 = 5
x^2 / x^2 = 1
y^3 / y^3 = 1
Therefore, the simplified expression is:
(20x^3) / (50x^2y^3) = (2x^3) / (5xy^3)
To simplify the given expression, we can combine the powers of x and y and divide the coefficients. Here's how:
First, let's simplify the numerator. We have x cubed and y to the power of 5, so when we divide by x squared and y cubed in the denominator, we can subtract the exponents. This gives us:
20x^3y^5 ÷ (50x^2y^3)
Next, let's simplify the coefficient. We can divide 20 by 50, which simplifies to 2/5:
(2/5)x^3y^5 ÷ (50x^2y^3)
Now, let's focus on the variables. We can subtract the exponents of x (3 - 2) and y (5 - 3):
(2/5)x^(3-2)y^(5-3)
Simplifying further:
(2/5)x^1y^2
Finally, since x^1 is just x to the power of 1, we can write it as just x:
(2/5)xy^2
Therefore, the fully simplified expression with positive exponents is (2/5)xy^2.