Write Problem, Identify Terms: Write down the problem and identify the terms to be multiplied.We have the fraction16k2m29m and we need to multiply it by 3m2. We will multiply the numerators together and the denominators together.
Multiply Numerators: Multiply the numerators.The numerator of the first fraction is 9m and we are multiplying it by 3m2. So, we have 9m×3m2=27m3.
Multiply Denominators: Multiply the denominators.The denominator of the first fraction is 16k2m2. Since the second fraction does not have a denominator (it can be considered as over 1), we do not need to multiply the denominators. So, the denominator remains 16k2m2.
Combine Results: Combine the results from Step 2 and Step 3 to write the new expression.The new expression after multiplying is 16k2m227m3.
Simplify Expression: Simplify the expression by canceling out common factors.We can see that m2 in the denominator can be canceled out with m2 in the numerator. This leaves us with 16k227m.
Check Further Simplification: Check if the expression can be simplified further.Since there are no common factors between 27m and 16k2, the expression is already in its simplest form.
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