This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.
ScanSolve AI Answer
You're on a roll — Step 1: Simplify the numerator. The numerator is sqrt(9x^4y^2). We can simplify each term under the square root: sqrt(9x^4y^2) = sqrt(9) · sqrt(x^4) · sqrt(y^2) = 3 · x^4/2 · y^2/2 = 3x^2y Step 2: Simplify the denominator. The denominator is [3]27x^6y^12. We can simplify each term under the cube root: [3]27x^6y^12 = [3]27 · [3]x^6 · [3]y^12 = 3 · x^6/3 · y^12/3 = 3x^2y^4 Step 3: Divide the simplified numerator by the simplified denominator. Now, substitute the simplified expressions back into the fraction: (3x^2y)/(3x^2y^4) Cancel out the common terms 3 and x^2: = (y)/(y^4) Using the rule of exponents (a^m)/(a^n) = a^m-n: = y^1-4 = y^-3 This can also be written as: = (1)/(y^3) The simplified expression is (1)/(y^3). (1)/(y^3)