Question
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
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
Answers
GPT 3.5
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.
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.
poop
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
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
GPT 3.5
The fully simplified expression is (3/5)x^(7-1)y^(7-6) = (3/5)x^6y.