Question

A scientist estimates that, after a certain amount of time, there would be 25·33·105 bacteria in a Petri dish. How many bacteria is this? Write your answer in standard form.

Answer 1

A scientist estimates that would be  $2^5 \cdot 3^3 \cdot 10^5$ bacteria in a Petri dish. we can say that there are 86400000 bacteria in a Petri dish. standard form

Given :

A scientist estimates that, after a certain amount of time, there would be $2^5 \cdot 3^3 \cdot 10^5$ bacteria in a Petri dish.

To write it in standard form , we need to expand the exponent and multiply it

2^5, we multiply 2 five times

$2^5= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2=32\\3^3=3 \cdot 3 \cdot 3= 27\\10^5=10 \cdot 10 \cdot 10 \cdot 10 \cdot 10=100000$

Now we multiply all the numbers

$2^5 \cdot 3^3 \cdot 10^5\\32 \cdot 27 \cdot 100000\\86400000$

There are 86400000 bacteria in Petri dish.

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