Question

Write the following product in scientific notation: (12.3 × 10^8)(1.06 × 10^−7).

Answer 1

`1,3038 . 10^(2)`

Explanation:

(12.3 × 10^8)(1.06 × 10^−7)

12.3 × 10^8 × 1.06 × 10^−7

12.3 × 1.06 × 10^8 × 10^−7

• Rule :
  `a^(b) . a^(c) = a^(b + c)`

10^8 × 10^−7 = 10^(8 -7) = 10^1

12.3 × 1.06 × 10^8 × 10^−7 = 12.3 × 1.06 × 10^1

12.3 × 1.06 =13.038

13.038 × 10^1 = 1,3038 × 10^2

Hope this helps ^-^

Answer 2

`1.3038 * {10}^(2)`

Explanation:

`(12.3* 10^8) (1.06* 10^(-7))\\ = 12.3 * 1.06 * {10}^(8) * {10}^( - 7) \\ = 13.038 * {10}^(8 - 7) \\ = 13.038 * {10}^(1) \\ = 1.3038 * {10}^(2)`