Find the numerical equivalent of 10 2 ⋅10 3

1 answer

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:

\[ \boxed{100000} \]