I have 2 questions, What is the smallest power of ten that exceeds 89,876,230,128,970?

Question 1 options:

A. 10^11


B. 10^14


C. 10^15


D. 10^12 What is the smallest power of 10 that exceeds? 981 44/61

Question 2 options:

A. 10^3


B. 10^4
C. cannot be found

D. 10^-2

Respuesta :

Question 1:

For this case we have the following amount:

[tex]89,876,230,128,970[/tex]

On the other hand, the exponents of the given options are positive, so we must run the decimal as many spaces to the right as the exponent indicates.

[tex]10^{11}= 100,000,000,000\\10^{14} = 100,000,000,000,000\\10^{15} = 1,000,000,000,000,000\\10^{12} = 1,000,000,000,000[/tex]

Thus, it is observed that the power that exceeds the given quantity is:

[tex]10^{14}[/tex]

ANswer:

[tex]10^{14}[/tex]

Question 2:

We have the following expression:

[tex]981 \frac {44} {61} = \frac {61 * 981 + 44} {61} = 981.72[/tex]

We have to [tex]10 ^ 3 = 1000[/tex]

So, the correct option is [tex]10 ^ 3[/tex]

Answer:

[tex]10 ^ 3[/tex]