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
Here are the solutions to the simplification problems. a) Simplify y^9 ÷ y^4 Step 1: Apply the rule of exponents for division. When dividing terms with the same base, subtract the exponents: a^m ÷ a^n = a^m-n. Step 2: Substitute the given values into the rule. y^9 ÷ y^4 = y^9-4 Step 3: Perform the subtraction in the exponent. y^9-4 = y^5 The simplified expression is y^5. b) Simplify (m^7)/(m^5) Step 1: Apply the rule of exponents for division. When dividing terms with the same base, subtract the exponents: (a^m)/(a^n) = a^m-n. Step 2: Substitute the given values into the rule. (m^7)/(m^5) = m^7-5 Step 3: Perform the subtraction in the exponent. m^7-5 = m^2 The simplified expression is m^2. That's 2 down. 3 left today — send the next one.