Final answer:
To simplify the given expression, start by simplifying the exponents within the parentheses and then simplify the expression outside the parentheses.
Step-by-step explanation:
To simplify the given expression, we can start by simplifying the exponents within the parentheses. Using the rule of multiplying exponents, we have (7^5 × 7^3)^4 = 7^(5*4) × 7^(3*4) = 7^20 × 7^12.
Next, we can simplify the expression outside the parentheses. 7 - 2/7^-7 = 7 - 2 * 7^7.
Finally, we can simplify the entire expression by combining the two terms: (7^20 × 7^12) × (7 - 2 * 7^7).