Question

7^8 ÷ 7^y = 7^6 Find the value of y

Answer 1

Answer:

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

Step-by-step explanation:

We need to solve the following

$\dfrac{7^8}{7^y}=7^6$

that we can write

$\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2$

so the answer is 2

Answer 2

Answer:

$y=2$

Step-by-step explanation:

$7^8 \div 7^y = 7^6$

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.

$y=2$