Question

HELP!! Drag values to complete each equation.

Answer 1

(12²)³ x 12^-4 = 144 which means it is 12² = 144.

12^7 x 12^-5 / 12² which equals 1.

Hope this Helps!!

Answer 2

a.
`((12)^2)^3\cdot (12)^(-4)=12^2`

b.
`((12)^7\cdot (12)^(-5))/((12)^2)=1`

Explanation:

We have to complete each equation

We are given that

`((12)^2)^3\cdot (12)^(-4)`

`(12)^6\cdot (12)^(-4)`

Using identity

`(a^x)^y=a^(xy)`

`(12)^(6-4)=(12)^2`

Using identity:
`a^x\cdot a^y=a^(x+y)`

`((12)^2)^3\cdot (12)^(-4)=12^2`

b.
`((12)^7\cdot (12)^(-5))/((12)^2)`

`((12)^2)/((12)^2)`

`(12)^(2-2)=(12)^0=1`

Using identity:
`(a^x)/(a^y)=a^(x-y),a^0=1`

`((12)^7\cdot (12)^(-5))/((12)^2)=1`