Question

Simplify -3d^8(-4d^-14). Assume d =/ 0​

Answer 1

`(12)/(d^6)`

Explanation:

`-3d^8\left(-4d^(-14)\right)`

Double negative = Positive:

`3d^8*4d^(-14)`

Apply negative exponent formula:

`3*d^8*4*(1)/(d^(14))`

Multiply:

`(12d^8)/(d^(14))`

Apply exponent rule:
`(x^a)/(x^b)=(1)/(x^(b-a))`

Thus,
`(12)/(d^(14-8))`

Simplify:

`(12)/(d^6)`

Answer 2

It is D, and the answers to the rest of the assignment are:

D

B

B

A & B

Javier didn't raise the coefficients to the 3rd power. When he raised (x^1)^3 to the 3rd power, he wrote x^4, but it really equals x^3. In the last step, Javier divided the exponents. He should've used the quotient of powers property and subtracted them.

These are correct on Edg, have a nice day :)