Answer:
5
Step-by-step explanation:
2x3 =6 than 5x3=15 than you gonna add
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n
B 1 1/7
- 9 2/7 - ( -10 3/7)
We know subtracting a negative is like adding
- 9 2/7 +10 3/7
10 3/7 - 9 2/7
Putting this vertical
10 3/7
-9 2/7
-----------------
1 1/7
8(cos(π) +i·sin(π))
The number in parentheses has a magnitude of ...
√(1^2 +(√3)^2) = √4 = 2
Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices
The angle of the number in parentheses is ...
arctan(-√3/1) = -π/3
Then 3 times that angle will be -π, also π.
The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...
8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice
