Fully simplify using only positive exponents.
start fraction, 24, x, to the power 7 , y, to the power 7 , divided by, 40, x, y, to the power 6 , end fraction
40xy
6
24x
7
y
7
To fully simplify the given expression, we can combine like terms in the numerator and denominator.
In the numerator, we have 24x^7 multiplied by y^7, which can be written as (24x^7)(y^7).
In the denominator, we have 40xy^6, which can be written as (40xy^6).
So, the expression becomes:
(24x^7)(y^7) / (40xy^6)
Now, let's simplify each term:
24x^7 divided by 40x is equal to (24/40)x^(7-1) = (3/5)x^6.
Similarly, y^7 divided by y^6 is equal to y^(7-6) = y^1 = y.
Therefore, the fully simplified expression is:
(3/5)x^6y.
what is it
Fully simplify using only positive exponents.
start fraction, 24, x, to the power 7 , y, to the power 7 , divided by, 40, x, y, to the power 6 , end fraction
40xy
6
24x
7
y
7
The fully simplified expression is (3/5)x^(7-1)y^(7-6) = (3/5)x^6y.
To simplify the expression fully using only positive exponents, you can follow these steps:
Step 1: Divide the coefficients (numbers) separately. Start with 24 divided by 40, which simplifies to 3/5.
Step 2: Combine the x terms. In the numerator, you have x^7, and in the denominator, you have x^1. To simplify the x terms, subtract the exponents: 7 - 1 = 6. So, you are left with x^6 in the numerator.
Step 3: Combine the y terms. In the numerator, you have y^7, and in the denominator, you have y^6. To simplify the y terms, subtract the exponents: 7 - 6 = 1. So, you are left with y^1 or just y in the numerator.
Putting it all together, the fully simplified expression is:
(3/5) * x^6 * y.