Question

simplify, $17^{2}(17^{3})$

Explanation:

Step1: Apply exponent product rule

For same base $a^m \times a^n = a^{m+n}$, here $a=17, m=2, n=3$.
$17^2(17^3) = 17^{2+3}$

Step2: Add the exponents

Calculate the sum of the exponents.
$17^{2+3}=17^5$

Step3: Compute the final value (optional)

Calculate the numerical value of $17^5$.
$17^5 = 17\times17\times17\times17\times17=1419857$

Answer:

$17^5$ (or $1419857$ if numerical value is required)