do you know why anything to the zero power is one????
thanks in advance
Look below to the question from Usher
From the second law of exponents, a^m/a^n = a^(m-n). If m=n we have
a^n/a^n = a(n-n) = a^0. But a^n/a^n = 1. Since quantities that are equal to the same quantity are equal to each other, it follows that a^0 = 1. In words, any quantity (except zero) with a zero exponent must have a numerical value equal to 1.
i don't know what is your level in maths..
so you can write x^a/x^a=1
but,in fact,it's wring because it's not defined for x=0
so your answer is right but in high school it's wrong...
Of course! The rule states that any number raised to the power of zero is equal to one. Let me explain why this is the case.
To understand why anything to the power of zero is one, let's use the concept of exponents. When we raise a number to a certain power, we are essentially multiplying that number by itself the specified number of times.
For example, if we have 2 raised to the power of 3 (2^3), it means we multiply 2 by itself three times: 2 * 2 * 2 = 8.
Now, let's consider what happens when we raise a number to the power of zero: 2^0. By following the same logic, we should multiply 2 by itself zero times. However, we need to end up with a meaningful result, so we need to find a value that can be used as a multiplicative identity.
In mathematics, the multiplicative identity is a value that, when multiplied by any other number, leaves that number unchanged. In this case, the number that accomplishes this is 1. So, to have a meaningful result, we define anything to the power of zero as 1.
To summarize, anything to the power of zero is equal to 1 because it follows the principle of the multiplicative identity, where multiplying a number by 1 leaves it unchanged.