how do you find the 3rd power of -64? I know that it is -4 but I don't know how to find that can someone help me?
What is 43 ?
Well if you know that 42 is 16
(4x4)
So to get the 3rd power, you take 16 and multiply by 4
43 IS THE SAME AS 4x4x4 !
4x4=16 x 4 = 64
I did NOT include the negative signs
Also others may have a better way but i would just start from a number like 4, and multiply it 3 times, and see how close to 64 i am.
What is 43 ?
Well if you know that 42 is 16
(4x4)
So to get the 3rd power, you take 16 and multiply by 4
43 IS THE SAME AS 4x4x4 !
4x4=16 x 4 = 64
I did NOT include the negative signs
Also others may have a better way but i would just start from a number like 4, and multiply it 3 times, and see how close to 64 i am.
Simplify the following:
(-64)^(1/3)
(-64)^(1/3) = (-1×64)^(1/3) = (-1×2^6)^(1/3):
(-2^6)^(1/3)
(-2^6)^(1/3) = (-1)^(1/3) (2^6)^(1/3) = (-1)^(1/3)×2^(6/3) = (-1)^(1/3)×4:
Answer: |
| (-1)^(1/3)×4 =4 (-1)^(1/3)
When you take a root of negative number, you are automatically taking its "complex" root. Hence, the answer:4(-1)^(1/3)