(abc)^0
By Property of Exponential Function, a^0 = 1
(abc)^0 = 1
lol omg I can't believe I missed that one!
:) sometimes the easiest problem stumps me!
To simplify an expression with a zero exponent, such as (abc)^0, we use the rule that any number (except 0) raised to the power of 0 equals 1.
Therefore, (abc)^0 is equal to 1.
To understand why any number (except 0) raised to the power of 0 is 1, you can think about the concept of exponents.
When we raise a number to a positive exponent, we are multiplying the base number by itself multiple times. For example, 2^3 means 2 * 2 * 2, which equals 8.
But when we raise a number to a negative exponent, we take the reciprocal of that number raised to the positive version of the exponent. For example, 2^(-3) means 1 / (2^3), which equals 1/8.
Now, when we consider raising a number (except 0) to the power of 0, we can apply the idea of taking the reciprocal.
Let's take a variable 'a' as an example. If we raise 'a' to the power of -1, we get 1/a. If we raise 'a' to the power of 0, we would take the reciprocal to get 1/(a^1), which is just 1/a.
Since we want the previous expression to still hold true, we must conclude that any number (except 0) raised to the power of 0 should equal 1.
Hence, (abc)^0 is equal to 1.