Question

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

Answer 1

Answer:

$1,3038 . 10^{2}$

Step-by-step 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

Answer:

$1.3038 \times {10}^{2}$

Step-by-step explanation:

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