Question

How do you multiply `4u ^ { - 4} v ^ { - 2} \cdot 3v u ^ { 2}`?

Answer 1

`12u^-6 v^-1`

Explanation:

Step 1) Group like terms:

`(4*3)(u^-4*u^2)(v^-2*v)`

`(4*3)(u^-4*u^-2)(V^-2*v^1)`

Step 2) Using rule for exponents multiple each term:

`12*(u^(-4 - 2))(v^(-2 + 1))`

`12u^-6 v^-1`