Question

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

Answer 1

12 / d^22.

Explanation:

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

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

= 12d^-22

= 12 /d^22.

Answer 2

`\large\boxed{12d^(-22)=(12)/(d^(22))}`

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)=(1)/(a^n)\\\\12d^(-22)=12\cdot(1)/(d^(22))=(12)/(d^(22))`