Sure, let's solve the problem step-by-step:
Given:
[tex]\[ (5.4 \times 10^3) \times (1.2 \times 10^7) \][/tex]
1. Multiply the Coefficients:
[tex]\[ 5.4 \times 1.2 = 6.48 \][/tex]
2. Add the Exponents:
[tex]\[ 3 + 7 = 10 \][/tex]
3. Combine Results into Scientific Notation:
The result of multiplying the coefficients is [tex]\( 6.48 \)[/tex] and the sum of the exponents is [tex]\( 10 \)[/tex]. Therefore, we express the final answer as:
[tex]\[ 6.48 \times 10^{10} \][/tex]
So, the result of the given operation in correct scientific notation is:
[tex]\[ 6.48 \times 10^{10} \][/tex]
