To find the numerical equivalent of \(10^2 \cdot 10^3\), you can use the property of exponents that states \(a^m \cdot a^n = a^{m+n}\).
Applying this property:
\[ 10^2 \cdot 10^3 = 10^{2+3} = 10^5 \]
Now, let's calculate \(10^5\):
\[ 10^5 = 100,000 \]
So the expression \(10^2 \cdot 10^3\) is equal to \(10^5\) or \(100,000\).
Thus, the responses can be concluded as:
- \(10^5\)
- \(100,000\)
Both are correct, but if you are looking for just one, the response \(10^5\) represents the exponent form clearly. If you need a numerical form, then \(100,000\) is also correct.
If your question is about numeric equivalents specifically, the answer would be:
100,000
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