Question

How do you multiply `2k ^ { 2} \cdot 3k ^ { 3} \cdot 2k ^ { - 1}`?

Answer 1

`12k^4`

Explanation:

Multiply `color(blue)2k^2 * color(blue)3k^3 * color(blue)2k^-1`

First multiply the coefficients `color(blue)2 * color(blue)3 * color(blue)2 =12`

`color(blue)2k^2 * color(blue)3k^3 * color(blue)2k^-1 = 12 * k^2 * k^3 * k^-1`

Next multiply the variables using the exponent rule `x^a * x^b = x^(a+b)`

`12 * k^2 * k^3 * k^-1 = 12 k^((2 + 3+ -1 )) = 12k^4`