Question
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
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
Answers
GPT 3.5
2x^3 / y^2
that's wrong
GPT 3.5
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 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)