In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as
20x⁶/15y⁵ × 5y²/6x⁴
The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes
(20*5)/(15*6) = 10/9
So, the equation to be solved now is
10x⁶y²/9y⁵ x⁴
So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:
10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³
Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is
10x²/9y³ or that is letter D.
Answer:
y = 733x
Step-by-step explanation:
y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.
If this answer is correct, please make me Brainliest!
Answer:
240
Step-by-step explanation:
We need to find the coeffeicent of the binomial expansion of
Note that
The binomial theorem states that
Using this, we let expand our series
So what term in the series eqaul x^-5.
That term is the 10 choose 7 term.
Because
So we need to compute 10 choose 7.
That equals
10!/3!(7!)= 10×9×8/6= 720/6=120.
So we get
So the coeffceint u
is 240
Answer:
6w - 29
Step-by-step explanation:
