Question

7^8 ÷ 7^y = 7^6 Find the value of y

Answer 1

`y=2`

Explanation:

`7^8 / 7^y = 7^6`

Apply the law of exponents.

`7^(8-y)= 7^6`

Cancel the same bases.

`8-y=6`

Subtract 8 on both sides.

`-y=6-8`

`-y=-2`

Cancel negative signs.

`y=2`

Answer 2

`\boxed{\df \ \ \ y = 2 \ \ \ }`

Explanation:

We need to solve the following

`(7^8)/(7^y)=7^6`

that we can write

`(7^8)/(7^y)=7^8*7^(-y)=7^(8-y)=7^6\\<=> 8-y = 6\\<=> y=8-6=2`

so the answer is 2