Question

by what number should we multiply (-8)^-1 to obtain 12^-1​

Answer 1

Step-by-step explanation:

Given that:-

Let the number should be multiplied (-8)^-1 to obtain 12^-1 = A

=>(-8)^-1×A=12^-1

we know that a^-n=1/a^n

=>(-1/8)×A=1/12

=>-A/8=1/12

=>-12A=8

=>A=8/-12

=>A=-2/3

The required number =-2/3

Check:-

(-8)^-1×(-2/3)

=>(-1/8)×(-2/3)

=>2/24

=>1/12

=>12^-1

Verified ✅