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 8 as a power of 2. 8 = 2^3 Substitute this into the expression: (2^3)^-1 × 5^32^-4 Step 2: Apply the exponent rule (a^m)^n = a^m × n. 2^-3 × 5^32^-4 Step 3: Apply the exponent rule (a^m)/(a^n) = a^m-n for the terms with base 2. 2^-3 - (-4) × 5^3 2^-3 + 4 × 5^3 2^1 × 5^3 Step 4: Calculate the values of 2^1 and 5^3. 2^1 = 2 5^3 = 5 × 5 × 5 = 125 Step 5: Multiply the results. 2 × 125 = 250 The final answer is 250. That's 2 down. 3 left today — send the next one.