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: Write the given expression. The expression to simplify is: (2y)/(3n^2y · 18n^4y) Step 2: Multiply the terms in the denominator. Multiply the numerical coefficients and combine the variables using the rule a^x · a^y = a^x+y. 3n^2y · 18n^4y = (3 × 18) · (n^2 · n^4) · (y · y) = 54n^2+4y^1+1 = 54n^6y^2 Step 3: Substitute the simplified denominator back into the expression. (2y)/(54n^6y^2) Step 4: Simplify the fraction by canceling common factors in the numerator and denominator. Divide the numerical coefficients: (2)/(54) = (1)/(27). Cancel the variable y: (y)/(y^2) = (1)/(y). (1)/(27n^6y) The simplified expression is (1)/(27n^6y). That's 2 down. 3 left today — send the next one.