Negative exponents is the multiplicative inverse of the base and the exponent is opposite to the given exponents. The larger the negative exponent the smaller the value of the number will be. The number of computation done by the computer in 5 minute is [tex]2.04\times 10^{14}[/tex].
The number of computation can be done by the computer in negative 9th power of the second is 6.8 x 10.
Negative exponents is the multiplicative inverse of the base and the exponent is opposite to the given exponents. The larger the negative exponent the smaller the value of the number will be.
Let x is the number of computation done by the computer in 1 second. Thus,
[tex]x=\dfrac{6.8\times10}{(1\times10^{-9})}[/tex]
[tex]x={6.8\times10}\times{10^{9}}[/tex]
[tex]x=6.8\times10^{10}[/tex]
Thus the number of computation done by the computer in 1 second is [tex]6.8\times10^{10}[/tex]. As it is known that in one minutes there is total 60 seconds thus total number of seconds in 5 minutes is,
[tex]=5\times 60[/tex]
[tex]=300[/tex]
To find the number of computation done by the computer in 5 minute we need to multiple the 300 seconds with the number number of computation done by the computer in 1 second. n is the number of computation done by the computer in 5 minutes. Therefore,
[tex]n=6.8\times10^{10}\times300[/tex]
[tex]n=6.8\times10^{10}\times3\times10^2[/tex]
[tex]n=(6.8\times 3)(10^{10}\times 10^2)[/tex]
[tex]n=20.4\times 10^{12}[/tex]
[tex]n=2.04\times 10^{14}[/tex]
Thus number of computation done by the computer in 5 minute is [tex]2.04\times 10^{14}[/tex].
Learn more about the negative exponents here;
https://brainly.com/question/5497425
