Final answer:
To express 1/100 as an exponential expression using the base 1/10, it is written as (10^-1)^2, which simplifies to 10^-2. This is verified by using a calculator to show that 10^-2 equals 0.01.
Step-by-step explanation:
To express the number 1/100 as an exponential expression using the base 1/10, We need to understand how to work with exponents and bases. Knowing that 1/10 is the same as 10-1, we can write 1/100 as the product of the base 1/10 taken to some power. Since 1/100 is the same as (1/10)2, or 10-1 multiplied by itself, it can be simplified to (10-1)2 = 10-2.
Using a calculator to verify, we can enter 10-2 and we should see a result of 0.01, which confirms that the exponential expression 10-2 is indeed equal to 1/100.