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
Hey MaMpangazitha — ready when you are. Here are the solutions to the problems: Problem 3: Simplify 9x × 6x × a^2 × b^3 Step 1: Multiply the numerical coefficients. 9 × 6 = 54 Step 2: Multiply the terms with the same variable. x × x = x^1+1 = x^2 Step 3: Combine all terms. 54 × x^2 × a^2 × b^3 54a^2b^3x^2 The simplified expression is: 54a^2b^3x^2 Problem 4: Simplify (9x6y)^n Step 1: Multiply the numerical coefficients inside the parenthesis. 9 × 6 = 54 Step 2: Rewrite the expression with the simplified numerical coefficient. (54xy)^n Step 3: Apply the exponent n to each factor inside the parenthesis. 54^n x^n y^n The simplified expression is: 54^n x^n y^n Problem 5: Simplify ((3)/(10))^5 Step 1: Apply the exponent to both the numerator and the denominator. (3^5)/(10^5) Step 2: Calculate the value of the numerator. 3^5 = 3 × 3 × 3 × 3 × 3 = 243 Step 3: Calculate the value of the denominator. 10^5 = 10 × 10 × 10 × 10 × 10 = 100,000 Step 4: Write the simplified fraction. (243)/(100,000) The simplified expression is: (243)/(100,000) Send me the next one 📸