Answer:
1. 15625
2. 256
3. 46656
Step-by-step explanation:
Simplify the following:
(5^3)^2
Multiply exponents. (5^3)^2 = 5^(3×2):
5^(3×2)
3×2 = 6:
5^6
5^6 = (5^3)^2 = (5×5^2)^2:
(5×5^2)^2
5^2 = 25:
(5×25)^2
5×25 = 125:
125^2
| | 1 | 2 | 5
× | | 1 | 2 | 5
| | 6 | 2 | 5
| 2 | 5 | 0 | 0
1 | 2 | 5 | 0 | 0
1 | 5 | 6 | 2 | 5:
Answer: 15625
_________________________________________
Simplify the following:
(4^2)^2
Multiply exponents. (4^2)^2 = 4^(2×2):
4^(2×2)
2×2 = 4:
4^4
4^4 = (4^2)^2:
(4^2)^2
4^2 = 16:
16^2
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
Answer: 256
____________________________________________
Simplify the following:
(6^2)^3
Multiply exponents. (6^2)^3 = 6^(2×3):
6^(2×3)
2×3 = 6:
6^6
6^6 = (6^3)^2 = (6×6^2)^2:
(6×6^2)^2
6^2 = 36:
(6×36)^2
6×36 = 216:
216^2
| | 2 | 1 | 6
× | | 2 | 1 | 6
| 1 | 2 | 9 | 6
| 2 | 1 | 6 | 0
4 | 3 | 2 | 0 | 0
4 | 6 | 6 | 5 | 6:
Answer: 46656
Answer:
(x,y)=(-10, -30)
Step-by-step explanation:
x/4 -y/12 = 0
--> x/4 = y/12
substitute into the first eq.
x/4 + y/12 = -5
y/12 + y/12 = -5
2y/12 = -5
y= (-5) * 12/2 = -30
solve for x, x/4 = (-30)/12
x=4* (-30)/12 = -10
Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
<h3>What is the discrete probability distribution?</h3>
Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
More can be learned about a discrete probability distribution at brainly.com/question/24855677
Answer:
square root
Step-by-step explanation: i think this is right but please tell me if it is wrong
Answer:
4t
Step-by-step explanation:
