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Multiply. Simplify your answer.\newline17mn17m2×11m2n2\frac{17mn}{17m^2} \times 11m^2n^2

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Q. Multiply. Simplify your answer.\newline17mn17m2×11m2n2\frac{17mn}{17m^2} \times 11m^2n^2
  1. Write Problem and Identify Factors: Write down the multiplication problem and identify common factors in the numerator and denominator.\newlineWe have (17mn)/(17m2)×(11m2n2)(17mn)/(17m^2) \times (11m^2n^2). We can see that there is a common factor of 17m17m in the numerator and denominator.
  2. Cancel Common Factors: Cancel out the common factors.\newlineThe 17m17m in the numerator cancels with one of the mm's in the 17m217m^2 in the denominator, leaving us with nm×11m2n2\frac{n}{m} \times 11m^2n^2.
  3. Multiply Remaining Factors: Multiply the remaining factors.\newlineMultiplying nm\frac{n}{m} by 11m2n211m^2n^2 gives us (n×11m2n2m)\left(\frac{n \times 11m^2n^2}{m}\right).
  4. Simplify Expression: Simplify the expression by combining like terms. The mm in the denominator cancels with one of the mm's in the m2m^2 in the numerator, leaving us with 11mn311mn^3.

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