Find the product: (4k^5)(-2k)^3

Question

Is it -32k^8 or -32k^2

I don't know rather to add or subtract the 5 & 3.

Answer 1

The correct answer is -32k^8

- When you multiply powers with the same base, you keep the base and ADD the exponents.

- For the second multiplier, note that the both the -2 and the k would be cubed, whereas in the first multiplier only the k get raised to the 5th.

so you would (4)(k^5)(-2)^3 (k^3)
= (4)(k^5)(-8)(k^3)
= -32 k^8