Question

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

Answer 1

Answer:

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

Step-by-step 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

∵ $\frac{7^{2}.7x^{8}}{7x^{4}}$

- Lets use the rule above

∵ $7^{2}.7^{8}=7^{2+8}=7^{10}$

∴ $\frac{7^{2}.7^{8}}{x^{4}}=\frac{7^{10}}{7^{4}}$

∵ $\frac{7^{10}}{7^{4}}=\frac{7^{a}}{7^{4}}$

∴ a = 10

∵ $\frac{7^{10}}{7^{4}}=7^{10-4}=7^{6}$

∵ $7^{6}=7^{b}$

∴ b = 6

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