Find the product of the following expressions:a. (3x²y)× ( −1 5 𝑥𝑦𝑧) ( 3 5 𝑦²𝑧)
Question
Find the product of the following expressions:a. (3x²y)× ( −1 5 𝑥𝑦𝑧) ( 3 5 𝑦²𝑧)
Solution
To find the product of the expressions, you need to multiply the coefficients (the numbers) and add the exponents of the variables that are the same.
Step 1: Multiply the coefficients 3 * -1/5 * 3/5 = -9/25
Step 2: Multiply the variables with the same base For x: x² * x = x³ (because 2 + 1 = 3) For y: y * y * y² = y⁴ (because 1 + 1 + 2 = 4) For z: z * z = z² (because 1 + 1 = 2)
Step 3: Combine the results from step 1 and step 2 -9/25 * x³ * y⁴ * z²
So, the product of the expressions (3x²y)× ( −1/5 𝑥𝑦𝑧) ( 3/5 𝑦²𝑧) is -9/25x³y⁴z².
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