This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Rewrite the term 2^n+3 using the exponent rule a^m+n = a^m × a^n. 2^n+3 = 2^n × 2^3 Step 2: Substitute this back into the numerator of the expression. (2^n × 2^3 + 2^n)/(3 × 2^n) Step 3: Factor out 2^n from the terms in the numerator. (2^n (2^3 + 1))/(3 × 2^n) Step 4: Cancel out the common factor 2^n from the numerator and the denominator. (2^3 + 1)/(3) Step 5: Calculate the value of 2^3. 2^3 = 2 × 2 × 2 = 8 Step 6: Substitute the value of 2^3 into the expression and simplify. (8 + 1)/(3) = (9)/(3) Step 7: Perform the division. (9)/(3) = 3 The simplified answer as a simple fraction is (3)/(1) or just 3. 3 Send me the next one 📸