To solve the expression \(7^2 \times 7^3\), we can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).
Applying this property here:
\[ 7^2 \times 7^3 = 7^{2+3} = 7^5 \]
Now, we can calculate \(7^5\):
\[ 7^5 = 7 \times 7 \times 7 \times 7 \times 7 \]
Calculating step-by-step:
- \(7 \times 7 = 49\)
- \(49 \times 7 = 343\)
- \(343 \times 7 = 2401\)
- \(2401 \times 7 = 16807\)
So, \(7^5 = 16807\).
Therefore, the numerical equivalent of \(7^2 \times 7^3\) is \(\boxed{16807}\).