Hence, the volume of 4.1x10^16 viruses is:
[tex]1.927*10^3\ cm^3[/tex]
Further explanation:
Given
[tex]Volume\ of\ one\ virus=4.7*10^{-14}\ cm^3[/tex]
[tex]Volume\ of\ 4.7*10^{16}\ viruses=?[/tex]
To find the volume of given viruses, volume of one virus will be multiplied to the number of viruses
So,
[tex]Volume\ of\ 4.1*10^{16}\ viruses= (4.7*10^{-14})*(4.1*10^{16})[/tex]
When two numbers with exponents have to be multiplied, their powers are added and number are multiplied.
[tex]V=(4.7*4.1)*(10^{-14+16})\\=(19.27)*(10^2)\\=19.27*10^2\\=1.927*10*10^2\\=1.927*10^{1+2}\\=1.927*10^3[/tex]
Hence, the volume of 4.1x10^16 viruses is:
[tex]1.927*10^3\ cm^3[/tex]
Keywords: Volume, Exponents
Learn more about exponents at:
#LearnwithBrainly