Question

Can someone help me figure this out?

Answer 1

Answer:

Step-by-step explanation:

Let's look at what 10^100 and 100^10 are as numbers without exponents.

Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.

Let's use rules of exponents to understand what 100^10 is.

100^10 = (10^2)^10

To raise a power to a power, multiply powers.

100^10 = (10^2)^10 = 10^20

We know what 10^20 means. It is a 1 followed by 20 zeros.

A googol, 10^100, is a 1 followed by 100 zeros.

100^10 is the same as 10^20 or 1 followed by 20 zeros.

A googol is much, much greater than 100^10.