To write the product (12.3 × 10^8)(1.06 × 10^-7) in scientific notation, we need to multiply the numbers and then express the result in the proper scientific notation format.
First, let's multiply the numbers:
(12.3 × 10^8) × (1.06 × 10^-7) = 12.3 × 1.06
× 10^8+(-7))
To simplify the exponent, we add the powers of 10:
8 + (-7) = 1
Now, we multiply the decimal parts: 12.3
× 1.06 = 13.038
Finally, we write the result in scientific notation:
13.038 × 10^1
Therefore, the product (12.3 × 10^8)(1.06 × 10^-7) is equal to 13.038 × 10^1 in scientific notation.