Question

7^2 x 7^8/ 7^4 = 7^a/ 7^4 =7^b

Answer 1

Answer: 10 and 6 for the next one its 2, 3, and 8

Step-by-step explanation: i hope this helps :)

Answer 2

The value of a is 10 and the value of b is 6

Explanation:

* Lets revise how to solve the problem

- Remember in the number with exponent

- a^n × a^m = a^(n + m)

- a^n ÷ a^m = a^(n - m)

Lets solve the problem

∵
`(7^(2).7x^(8))/(7x^(4))`

- Lets use the rule above

∵
`7^(2).7^(8)=7^(2+8)=7^(10)`

∴
`(7^(2).7^(8))/(x^(4))=(7^(10))/(7^(4))`

∵
`(7^(10))/(7^(4))=(7^(a))/(7^(4))`

∴ a = 10

∵
`(7^(10))/(7^(4))=7^(10-4)=7^(6)`

∵
`7^(6)=7^(b)`

∴ b = 6

* The value of a is 10 and the value of b is 6