Multiply (1.2 ⋅ 1028) ⋅ (3 ⋅ 10−19). Express the answer in scientific notation.

Question

Group of answer choices

3.6 ⋅ 109

3.6 ⋅ 1010

36 ⋅ 109

36 ⋅ 1010

Answer 1

To multiply the expressions \( (1.2 \cdot 10^{28}) \) and \( (3 \cdot 10^{-19}) \), we can first multiply the coefficients and then the powers of 10 separately:

1. Multiply the coefficients: \[ 1.2 \cdot 3 = 3.6 \]

2. Add the exponents of 10: \[ 10^{28} \cdot 10^{-19} = 10^{28 + (-19)} = 10^{9} \]

3. Combine the results: \[ (1.2 \cdot 10^{28}) \cdot (3 \cdot 10^{-19}) = 3.6 \cdot 10^{9} \]

Thus, the answer in scientific notation is \( 3.6 \cdot 10^{9} \).

The correct choice is: 3.6 ⋅ 10^9.