what is the answer if, for example, the base number is 8 and the exponent is 0?
http://www.google.com/search?q=8%5E0&rls=com.microsoft:en-us:IE-SearchBox&ie=UTF-8&oe=UTF-8&sourceid=ie7&rlz=1I7SUNA
Can you explain that?
You can go to Google search and find the answer to just about any math problem.
8^0 is basically saying 8 multiplied by itself 0 times; therefore it's still 8.
8^2 is 8 x 8 = 16
We normally don't see exponents under 2.
A math teacher may have further explanation for you.
kate, do you know about the rules for multiplying powers? IF so, then
suppose I multiply 8^0 by 8^2
according to the rules of exponents the answer is
8^2, since we have to add the exponents.
now we just multiplied 8^2 by some number and our result was 8^2,
clearly only the number 1 would behave like that, wouln't it?
so 8^0 = 1
(I could make that same argument using any other base)
To find the answer when the base number is 8 and the exponent is 0, we need to understand the concept of exponents.
In mathematics, when a number is raised to the power of 0, the result is always 1.
So, in this case, 8 raised to the power of 0 is equal to 1.
To understand why this is the case, we can use the rule of exponents. When we have a number raised to a power, it means that we need to multiply the base number by itself the number of times indicated by the exponent.
For example:
8^0 = 1
8^1 = 8
8^2 = 8 * 8 = 64
8^3 = 8 * 8 * 8 = 512
As you can see, when the exponent is 0, there are no multiplications involved, and the result is always 1.
So, the answer to the given example is 1.