Final answer:
The given expression with negative exponents is first transformed using the rule of exponents to have positive exponents. The terms are then combined getting common denominator and simplified, cancelling out common terms. The final simplified expression with positive exponents is (1 - 4^4) / (4^2 * p^2).
Step-by-step explanation:
To simplify the given expression with only positive exponents, first, we need to use the rule of exponents that states a^(-n) = 1/a^n. Therefore, 4^(-7)p = 1/(4^7) * p and 4^(-3)p = 1/(4^3)*p. So, the expression becomes: (1/(4^7)*p - 1/(4^3)*p) / (4^5 * p^3) Then, we can combine the terms for simplification by getting a common denominator which is 4^7: (1 * p - 4^(7-3) * p) / (4^(7-5) * 4^2 * p^3) After simplifying, we get: (1*p - 4^4*p) / (4^2 * p^3) Finally, cancel out common terms of 'p' in numerator and denominator, thus, the final simplified expression with positive exponents is:(1 - 4^4) / (4^2 * p^2)
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