College

Which choice is equivalent to the expression below?

[tex]30^0[/tex]

A. 1
B. [tex]30^2[/tex]
C. 0
D. 30

Answer :

Sure! Let's go through the problem step-by-step.

We need to determine which choice is equivalent to the expression [tex]\( 30^0 \)[/tex].

First, let's recall a very important rule in mathematics:
- Any non-zero number raised to the power of 0 is always equal to 1.

In mathematical notation, we write this as [tex]\( a^0 = 1 \)[/tex] for any [tex]\( a \neq 0 \)[/tex].

Now let's apply this rule to the given expression [tex]\( 30^0 \)[/tex]:
- Here, [tex]\( a = 30 \)[/tex] which is a non-zero number.
- According to the rule, [tex]\( 30^0 = 1 \)[/tex].

Therefore, the expression [tex]\( 30^0 \)[/tex] is equivalent to 1.

Now, let's look at the choices given:

A. 1
B. [tex]\( 30^2 \)[/tex]
C. 0
D. 30

Since [tex]\( 30^0 \)[/tex] is equivalent to 1, the correct choice is:

A. 1