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Multiply. Simplify your answer.\newline9m16k2m2×3m2\frac{9m}{16k^2m^2} \times 3m^2

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Q. Multiply. Simplify your answer.\newline9m16k2m2×3m2\frac{9m}{16k^2m^2} \times 3m^2
  1. Write Problem, Identify Terms: Write down the problem and identify the terms to be multiplied.\newlineWe have the fraction 9m16k2m2\frac{9m}{16k^2m^2} and we need to multiply it by 3m23m^2. We will multiply the numerators together and the denominators together.
  2. Multiply Numerators: Multiply the numerators.\newlineThe numerator of the first fraction is 9m9m and we are multiplying it by 3m23m^2. So, we have 9m×3m2=27m39m \times 3m^2 = 27m^3.
  3. Multiply Denominators: Multiply the denominators.\newlineThe denominator of the first fraction is 16k2m216k^2m^2. Since the second fraction does not have a denominator (it can be considered as over 11), we do not need to multiply the denominators. So, the denominator remains 16k2m216k^2m^2.
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the new expression.\newlineThe new expression after multiplying is 27m316k2m2\frac{27m^3}{16k^2m^2}.
  5. Simplify Expression: Simplify the expression by canceling out common factors.\newlineWe can see that m2m^2 in the denominator can be canceled out with m2m^2 in the numerator. This leaves us with 27m16k2.\frac{27m}{16k^2}.
  6. Check Further Simplification: Check if the expression can be simplified further.\newlineSince there are no common factors between 27m27m and 16k216k^2, the expression is already in its simplest form.

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