Question

Simplify -3d^-8(-4d^-14)

Answer 1

Answer:

$\large\boxed{12d^{-22}=\dfrac{12}{d^{22}}}$

Step-by-step explanation:

$(-3d^{-8})(-4d^{-14})=\bigg((-3)(-4)\bigg)\bigg((d^{-8})(d^{-14})\bigg)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12d^{-8+(-14)}=12d^{-22}$

$\text{You can use}\ a^{-n}=\dfrac{1}{a^n}\\\\12d^{-22}=12\cdot\dfrac{1}{d^{22}}=\dfrac{12}{d^{22}}$

Answer 2

Answer:

12 / d^22.

Step-by-step explanation:

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

= (-3*-4) d^(-8+-14)

= 12d^-22

= 12 /d^22.