College

Which choice is equivalent to the expression below?

[tex]500^0[/tex]

A. 0
B. 500
C. [tex]500^1[/tex]
D. 1

Answer :

To solve the expression [tex]\(500^0\)[/tex], we need to use the properties of exponents. There is a specific rule regarding any number raised to the power of zero, which states that any nonzero number raised to the zero power is equal to 1.

Here are the steps to understand this:

1. Identify the Expression: We have the expression [tex]\(500^0\)[/tex].

2. Apply the Zero Exponent Rule: According to the zero exponent rule, any non-zero number raised to the power of zero is always equal to 1. This is a fundamental rule in mathematics.

3. Verify the Base: In this expression, the base is 500, which is a non-zero number. Hence, the rule is applicable.

Therefore, [tex]\(500^0 = 1\)[/tex].

The correct choice that matches the expression [tex]\(500^0\)[/tex] is:

D. 1