Question

Find the numerical equivalent of 10 2 ⋅10 3

Answer 1

To find the numerical equivalent of \(10^2 \cdot 10^3\), we can use the property of exponents that states:

\[
a^m \cdot a^n = a^{m+n}
\]

In this case, \(a = 10\), \(m = 2\), and \(n = 3\). Therefore:

\[
10^2 \cdot 10^3 = 10^{2+3} = 10^5
\]

Now, we can calculate \(10^5\):

\[
10^5 = 100000
\]

Thus, the numerical equivalent of \(10^2 \cdot 10^3\) is:

\[
\boxed{100000}
\]