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
Let's simplify the expression. Step 1: Separate the terms with the same base. (5r^4)/(5^5r^4) = (5^1)/(5^5) × (r^4)/(r^4) Step 2: Apply the rule of exponents for division, (a^m)/(a^n) = a^m-n, to both parts. For the base 5 terms: (5^1)/(5^5) = 5^1-5 = 5^-4 For the base r terms: (r^4)/(r^4) = r^4-4 = r^0 Step 3: Simplify the terms. Remember that any non-zero number raised to the power of 0 is 1 (r^0 = 1). Also, a^-n = (1)/(a^n). 5^-4 = (1)/(5^4) r^0 = 1 Step 4: Multiply the simplified terms. (1)/(5^4) × 1 = (1)/(5^4) Step 5: Calculate the value of 5^4. 5^4 = 5 × 5 × 5 × 5 = 25 × 25 = 625 Step 6: Write the final simplified expression. (1)/(625) The simplified expression is (1)/(625). Drop the next question.