To find the numerical equivalent of \( 7^2 \cdot 7^3 \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).
So,
\[ 7^2 \cdot 7^3 = 7^{2+3} = 7^5 \]
Now, we can calculate \( 7^5 \):
\[ 7^5 = 7 \times 7 \times 7 \times 7 \times 7 \]
Calculating it step by step:
- \( 7 \times 7 = 49 \)
- \( 49 \times 7 = 343 \)
- \( 343 \times 7 = 2401 \)
- \( 2401 \times 7 = 16807 \)
Thus, \( 7^5 = 16807 \).
The numerical equivalent of \( 7^2 \cdot 7^3 \) is \( \boxed{16807} \).
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