Question: (2a3b4)4= a. 2a7b8 b. 8a12b16 c. 16a7b8 d. 16a12b16 e. i don't know.

D

Step-by-step explanation:

The question is of exponents, it is shown below:

We use the rule of exponents shown below to simplify this:

The rule is

Using this rule we can simplify the problem as:

Now we can use another rule of exponents shown below to simplify further and get our

The rule is  

Thus we have:

Thus the answer is , which is option D.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0