hic0015
hic0015 hic0015
  • 20-11-2018
  • Mathematics
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How many digits are written when 1000 to the power of 2015 is expressed as a numeral?

Respuesta :

RenatoMattice RenatoMattice
  • 29-11-2018

Answer: There are 6046 digits will be written on expansion upto 2015th power.

Step-by-step explanation:

Since we have given that

[tex]1000^{2015}[/tex]

We have to find the number of digits ,

So,

[tex]1000^{2015}\\\\=(10^3)^{2015}\\\\=10^{6045}[/tex]

Since we know that

[tex]10^n\text{ has n+1 number of digits }[/tex]

so,

[tex]10^{6045}\text{ has 6046 number of digits }[/tex]

Hence, there are 6046 digits will be written on expansion upto 2015th power.

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