Posted by **Linda** on Sunday, December 18, 2011 at 1:42pm.

find the product: (4k to the 5th power)(-2k)to the 3rd power. 5th power is inside the parenthesis and the 3rd is outside the parenthesis.

Is it -32k to the 8th power or -32k to the 2nd power?

- pre-algebra -
**Steve**, Sunday, December 18, 2011 at 6:18pm
(4k^5)(-2k)^3

4^5 k^5 (-2)^3 k^3

1024(-8) k^8

-8196 k^8

Now, if you meant

4(k^5)(-2k)^3

Then you do indeed have

-32k^8

When you have minus signs in the coefficient, they do not affect the exponents. Multiplying powers means add exponents. To get k^2 = k^(5-3), you'd have to have

4k^5(-2k)^-3

= -4/8 k^2

Then you'd have to take a negative power of 2, as well, making it a fraction.

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