Math

QuestionCalculate the expression 4xy14 x y^{-1} for x=9x=9 and y=2y=-2.

Studdy Solution

STEP 1

Assumptions1. The value of xx is9. The value of yy is -3. The expression is 4xy14xy^{-1}

STEP 2

First, we need to substitute the given values of xx and yy into the expression.
4xy1=49(2)14xy^{-1} =4 \cdot9 \cdot (-2)^{-1}

STEP 3

Next, we need to calculate the value of (2)1(-2)^{-1}.
(2)1=12(-2)^{-1} = -\frac{1}{2}

STEP 4

Substitute the value of (2)1(-2)^{-1} back into the expression.
49(2)1=49124 \cdot9 \cdot (-2)^{-1} =4 \cdot9 \cdot -\frac{1}{2}

STEP 5

Perform the multiplication operation.
4912=184 \cdot9 \cdot -\frac{1}{2} = -18So, the value of the given expression 4xy14xy^{-1} is -18 when x=9x=9 and y=2y=-2.

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