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Answer:
Write the populations in scientific notation:
First sample: 3.2 × [tex]10^{7}[/tex]
Second sample: 5.4 × [tex]10^{6}[/tex]
Make the exponents the same:
To add these numbers, the exponents need to be the same. Convert
5.4 × [tex]10^{6}[/tex] to have the same exponent as 3.2 × [tex]10^{7}[/tex].
Note that [tex]10^{7}[/tex] is 10 times larger than [tex]10^{6}[/tex], so:
5.4 × [tex]10^{6}[/tex] = 0.54 × [tex]10^{7}[/tex]
Add the coefficients:
Now, add the coefficients 3.2 and 0.54:
3.2 + 0.54 = 3.74
Combine the results:
Combine the coefficient with the common power of 10:
3.74 × [tex]10^{7}[/tex]
So, the total population of bacteria from both samples, expressed in scientific notation, is 3.74 × [tex]10^{7}[/tex].