To simplify the expression, we can use the exponent rules of multiplication and division.
The first rule is for multiplying exponential expressions with the same base:
a^m * a^n = a^(m + n)
The second rule is for dividing exponential expressions with the same base:
a^m / a^n = a^(m - n)
Applying these rules to the expression:
7^8 * 7^3 * 7^3 / 7^9 * 7^5
= 7^(8 + 3 + 3) / 7^(9 + 5)
= 7^14 / 7^14
= 7^(14 - 14)
= 7^0
= 1
So the simplified expression is equal to 1