Answer:
4a^4·b^5
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
The commutative and associative properties of multiplication apply, so we can write the expression as ...
4·(a^3·a)·(b^2·b^3) = 4·a^(3+1)·b^(2+3) = 4·a^4·b^5
Answer:
3 different choices
Step-by-step explanation:
This problem is a combination problem: She has 3 friends, and we want to know how many groups of 2 friends there are. We can solve this using the combination of 3 choose 2:
C(3,2) = 3!(1! * 2!) = 3*2/2 = 3 possibilities
If we call her three friends A, B and C, the groups that can be formed are:
A and B
A and C
B and C
Answer: The total cost to paint the mural will be $80.
First, we need to find the area of the trapezoid. The formula is one-half times the height times the sum of the bases.
0.5 x 6 (9 + 11) = 60 m^2
Each can will cover 12 m^2, so divide 60 by 12 to find that we need 5 cans.
The cost of each can is $16, so 5 x 16 = $60.
Answer:
3.6 repeating or 3 and 2/3
Step-by-step explanation:
I did the work on a calculator.