Fully simplify using only positive exponents.
24x^7 y^7
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40xy^6
To fully simplify the expression, we can start by canceling out any common factors in the numerator and denominator.
The greatest common factor of 24 and 40 is 8. The greatest common factor of x^7 and x is x. The greatest common factor of y^7 and y^6 is y^6.
So, canceling out the common factors, we get:
(24x^7 y^7)/(40xy^6) = (8x^6 y)/ (5y^6)
And since we want to express the expression with only positive exponents, we can rewrite x^6 as x*x*x*x*x*x and y as y^1.
So, the fully simplified expression is:
(8x*x*x*x*x*x y)/(5y^6)
Simplified further, we get:
8x^6 y^(-5)
Therefore, the fully simplified expression is 8x^6 y^(-5).
I tried it, it says "incorrect two chances remaining"
Apologies for the confusion. Let's go through the simplification process step by step:
To simplify the expression (24x^7 y^7)/(40xy^6), we can start by cancelling out any common factors in the numerator and denominator.
The greatest common factor of 24 and 40 is 8. The greatest common factor of x^7 and x is x. The greatest common factor of y^7 and y^6 is y^6.
So, canceling out the common factors, we get:
(24x^7 y^7)/(40xy^6) = (8x^6 y)/(5y^6)
Next, we can simplify the expression further by dividing x^6 by x, and y^6 by y:
(8x^6 y)/(5y^6) = (8x^5)/(5y^5)
Therefore, the fully simplified expression, using only positive exponents, is 8x^5/(5y^5).
I tried it, it said: Incorrect two chances remaining
Apologies for the confusion earlier. Let's simplify the expression (24x^7 y^7)/(40xy^6) step by step:
First, let's simplify the numerical coefficients 24 and 40. We can divide both numbers by their greatest common factor, which is 8:
24 ÷ 8 = 3
40 ÷ 8 = 5
Next, let's simplify the variable terms. In the numerator, x^7 can be simplified as x*x*x*x*x*x*x, and in the denominator, x can be simplified as x^1. So we can simplify x^7/x as x^6.
Similarly, in the numerator, y^7 can be simplified as y*y*y*y*y*y*y, and in the denominator, y^6 can be simplified as y*y*y*y*y*y. So we can simplify y^7/y^6 as y.
Putting it all together, we have:
(24x^7 y^7)/(40xy^6) = (3x^6 y)/(5y)
Therefore, the fully simplified expression using only positive exponents is 3x^6 y / 5y.
It was wong it said the answer was this: 53 ⋅ 1x 6 ⋅ 1y = 53x 6 y
Apologies for the mistakes in my previous responses. Let's simplify the expression correctly:
To simplify (24x^7 y^7)/(40xy^6), we can start by canceling out any common factors in the numerator and denominator.
The greatest common factor of 24 and 40 is 8. The greatest common factor of x^7 and x is x^1. The greatest common factor of y^7 and y^6 is y^6.
So, canceling out the common factors, we get:
(24x^7 y^7)/(40xy^6) = (3x^6 y)/(5y^6)
Now, we can simplify further by dividing x^6 by x^1, and y^6 by y^6:
(3x^6 y)/(5y^6) = (3x^5)/(5)
Finally, the fully simplified expression, using only positive exponents, is 3x^5/5.
I apologize for the previous incorrect responses.