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 simplifications for the given expressions: a) Simplify (5pq)^2 Step 1: Apply the Power of a Product Law, which states that (xy)^n = x^n y^n. In this case, the bases are 5, p, and q, and the index is 2. (5pq)^2 = 5^2 p^2 q^2 Step 2: Calculate the value of 5^2. 5^2 = 25 Step 3: Substitute the value back into the expression. 25 p^2 q^2 The simplified expression is: 25p^2q^2 b) Simplify (ab)^x Step 1: Apply the Power of a Product Law, which states that (xy)^n = x^n y^n. In this case, the bases are a and b, and the index is x. (ab)^x = a^x b^x The simplified expression is: a^xb^x 3 done, 2 left today. You're making progress.