Question

Determine the value of the variables when simplifying and evaluating the expression (302)0 .

What is the value of m in the simplified power?
(302)0= 30m
m =
 

What is the value of (302)0?

(302)0 =

Answer 1

To evaluate the expression \((302)^0\), we can refer to the exponent rules. According to the property of exponents, any nonzero number raised to the power of 0 is equal to 1.

Thus, we have:

\[
(302)^0 = 1
\]

Now, simplifying the expression \((302)^0\) as given, we can relate it to the form \(30^m\).

We already established that \((302)^0 = 1\). Hence, we can express this as:

\[
30^m = 1
\]

For \(30^m\) to equal 1, the variable \(m\) must be 0 (since any nonzero number raised to the power of 0 equals 1):

\[
m = 0
\]

To summarize:

- The value of \(m\) in the simplified power is:

\[
m = 0
\]

- The value of \((302)^0\) is:

\[
(302)^0 = 1
\]