1.208926 × [tex]10^{24}[/tex] bacteria will the colony contain at the end of 40 hours.
The exponential form is an easier way of writing repeated multiplication involving base and exponents. If very large numbers or very small numbers are given, then it is better to use the standard exponential form to represent them.
Given
If a colony of bacteria starts with 1 bacterium and doubles in number every 30 minutes.
Based on the given conditions
[tex]2^{\frac{40.(60)}{30} }[/tex]
= [tex]2^{40.(2)}[/tex]
= [tex]2^{80}[/tex]
≅ 1.208926 × [tex]10^{24}[/tex]
Hence, 1.208926 × [tex]10^{24}[/tex] bacteria will the colony contain at the end of 40 hours.
Find out more information about exponential form here
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