Respuesta :

Answer:

[tex]\frac{12}{d^6}[/tex]

Step-by-step explanation:

[tex]-3d^8\left(-4d^{-14}\right)[/tex]

Double negative = Positive:

[tex]3d^8*4d^{-14}[/tex]

Apply negative exponent formula:

[tex]3*d^8*4*\frac{1}{d^{14}}[/tex]

Multiply:

[tex]\frac{12d^8}{d^{14}}[/tex]

Apply exponent rule: [tex]\frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

Thus, [tex]\frac{12}{d^{14-8}}[/tex]

Simplify:

[tex]\frac{12}{d^6}[/tex]

Answer:

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 :)