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 =

Answer 1

The expression \((302)^0\) is evaluated based on the property of exponents that states any non-zero number raised to the power of 0 is equal to 1. Therefore:

\[
(302)^0 = 1
\]

Now we have the simplified expression given as:

\[
30^m
\]

Since we have established that \((302)^0 = 1\), we set this equal to \(30^m\):

\[
30^m = 1
\]

To solve for \(m\), we use the fact that \(30^0 = 1\), which gives us:

\[
m = 0
\]

Thus, the value of \(m\) in the simplified power is:

\[
\boxed{0}
\]