Answer :

The scientific notation of 36.2× 10 to the power 3 will be 36.2 × 10³or 3.62 × [tex]10^{4}[/tex].

An expression , 36.2× 10 to the power 3 is given in the question.

We have to find out the correct scientific notation of the above expression.

What will be the value of 2 × [tex]10^{5}[/tex] ?

The value of 2 × [tex]10^{5}[/tex] will be equal to 2 × 100000 or 200000.

As per the question ;

The expression given is 36.2× 10 to the power 3.

So ,

10 to the power 3 meant , 10³ .

We can write 36.2 × 10 to the power 3 in scientific form as ;

36.2 × 10³

or

this can also be written in scientific form as ;

= 3.62 × [tex]10^{4}[/tex]

Thus , the scientific notation of 36.2× 10 to the power 3 will be 36.2 × 10³or 3.62 × [tex]10^{4}[/tex].

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Given: 36.2×10 Here, 10 is to the first power.

3.62*10^2 Second power.

0.362*10^3 Third power.