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
Simplify. (Continuing from previous response) ex)* (x^4)^5 Step 1: Apply the power of a power rule, (a^m)^n = a^m × n. x^4 × 5 Step 2: Simplify the exponent. x^20 The simplified form is x^20. B)* (3x^2)^3 Step 1: Apply the power to each factor inside the parenthesis, (ab)^n = a^n b^n. 3^3 × (x^2)^3 Step 2: Calculate 3^3. 27 × (x^2)^3 Step 3: Apply the power of a power rule, (a^m)^n = a^m × n. 27x^2 × 3 Step 4: Simplify the exponent. 27x^6 The simplified form is 27x^6. d)* (y^11y^7)^2 Step 1: Simplify the expression inside the parenthesis using the division rule for exponents, (a^m)/(a^n) = a^m-n. (y^11-7)^2 Step 2: Simplify the exponent inside the parenthesis. (y^4)^2 Step 3: Apply the power of a power rule, (a^m)^n = a^m × n. y^4 × 2 Step 4: Simplify the exponent. y^8 The simplified form is y^8. 3 done, 2 left today. You're making progress.