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Perform the following operation and express the answer in correct scientific notation.

[tex]\[
(5.4 \times 10^3) \times (1.2 \times 10^7)
\][/tex]

[tex]\[
[?] \times 10^{[?]}
\][/tex]

Sagot :

GinnyAnsweridn
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]
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