Question

Law of indices , show working

1. 10^8 × 10^4

2. (11^5)^4

3. 8^6 ÷ 8^3

4. (12^2) × 12^4

5. (13^4) ÷ 13^5

6. (5^2 × 5^3) ÷ 5^4

7. 18^4 ÷ 18^6

8. (19^2)^4 ÷ 19^8​

Answer 1

Below.

Explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8 = 18^(8-8) = 18^0 = 1.