Can someone please explain this to me, I know the answer but can not figure out how to get it?

(15)(.8)^4(1-.8)^2+(6)(.8)^5(1-.8)^1+(1)(.8)^6(1-.8)^0

I just entered your calculations into the Google window and look what it gave me

http://www.google.ca/search?hl=en&source=hp&q=%2815%29%28.8%29%5E4%281-.8%29%5E2%2B%286%29%28.8%29%5E5%281-.8%29%5E1%2B%281%29%28.8%29%5E6%281-.8%29%5E0&aq=f&aqi=&aql=&oq=&gs_rfai=

I knew the answer, I don't understand how they got the answer I have tried a million times now.

To explain how to get the answer to the expression you provided, let's break it down step by step.

The expression can be simplified as follows:
(15)(.8)^4(1-.8)^2 + (6)(.8)^5(1-.8)^1 + (1)(.8)^6(1-.8)^0

Step 1: Calculate the first term of the expression
The first term is (15)(.8)^4(1-.8)^2. Let's break it down further:
- (.8)^4 represents raising 0.8 to the power of 4, which equals 0.4096.
- (1-.8)^2 represents subtracting 0.8 from 1 and then raising the result to the power of 2. This simplifies to (0.2)^2, which equals 0.04.
- (15) is simply the coefficient in front.

Multiplying these values together, we get: (15)(0.4096)(0.04) = 2.4576.

Step 2: Calculate the second term of the expression
The second term is (6)(.8)^5(1-.8)^1. Following the same process as before:
- (.8)^5 = 0.32768,
- (1-.8)^1 = 0.2,
- (6) is the coefficient.

(6)(0.32768)(0.2) = 0.393216.

Step 3: Calculate the third term of the expression
The third term is (1)(.8)^6(1-.8)^0. Using the same steps:
- (.8)^6 = 0.262144,
- (1-.8)^0 = 1 (anything raised to the power of 0 equals 1),
- (1) is the coefficient.

(1)(0.262144)(1) = 0.262144.

Step 4: Add up the results
Finally, add up the three terms calculated in the previous steps:
2.4576 + 0.393216 + 0.262144 = 3.11296.

Therefore, the answer to the expression is approximately 3.11296.