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Multiply. Simplify your answer. \newline20k211j×12k2\frac{20k^2}{11j} \times 12k^2

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Q. Multiply. Simplify your answer. \newline20k211j×12k2\frac{20k^2}{11j} \times 12k^2
  1. Write Problem: Write down the multiplication problem.\newlineWe are given the expression 20k211j\frac{20k^2}{11j} multiplied by 12k212k^2. We need to multiply the numerators together and keep the denominator as is since there is no denominator in the second fraction.
  2. Multiply Numerators: Multiply the numerators.\newlineTo multiply the numerators, we multiply 20k220k^2 by 12k212k^2. This gives us 20×12×k2×k220 \times 12 \times k^2 \times k^2.
  3. Calculate Product: Calculate the product of the numerators. 20×1220 \times 12 equals 240240, and k2×k2k^2 \times k^2 equals k4k^4 (since we add the exponents when multiplying like bases). So, the product of the numerators is 240k4240k^4.
  4. Write Result: Write the result over the original denominator.\newlineSince the original denominator is 11j11j, we place the product of the numerators over this denominator. The expression becomes 240k411j.\frac{240k^4}{11j}.
  5. Simplify Expression: Simplify the expression if possible.\newlineIn this case, there are no common factors between the numerator and the denominator, so the expression is already in its simplest form.

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