(-36)×((-35)/(76))×((19)/(15))×((3)/(-2))^(-1)

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Simplify Exponent: Simplify the exponent ((3)/(-2))^(-1). To simplify an exponent with a negative power, take the reciprocal of the base. This gives us (-2)/(3).Multiply Numbers: Multiply (-36) by ((-35)/(76)). This gives us (-36) * (-35) / 76. Multiplying the numerators together and keeping the denominator the same, we get 1260 / 76.Simplify Result: Simplify 1260 / 76. Dividing 1260 by 76, we get 16.5789473684. However, we should keep it in fraction form for now to maintain precision until the final calculation. So, we have 1260 / 76 as is.Multiply Fractions: Multiply the result from Step 3 by ((19)/(15)). We multiply the numerators together and the denominators together, which gives us (1260 * 19) / (76 * 15).Calculate Multiplication: Calculate the multiplication of the numerators and denominators. This gives us 23940 / 1140. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor.Simplify Result: Simplify 23940 / 1140. Dividing both the numerator and the denominator by 20, we get 1197 / 57.Multiply Fractions: Multiply the result from Step 6 by the result from Step 1, which is (-2)/(3). Multiplying the numerators together and the denominators together, we get (1197 * -2) / (57 * 3).Calculate Multiplication: Calculate the multiplication of the numerators and denominators. This gives us -2394 / 171. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case, so the fraction is already in its simplest form.Convert to Decimal: Convert the fraction -2394 / 171 to a decimal to find the final answer. Dividing -2394 by 171, we get approximately -14.

$(-36) \times\left(\frac{-35}{76}\right) \times\left(\frac{19}{15}\right) \times\left(\frac{3}{-2}\right)^{-1}$

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(−36)×(−3576)×(1915)×(3−2)−1 (-36) \times\left(\frac{-35}{76}\right) \times\left(\frac{19}{15}\right) \times\left(\frac{3}{-2}\right)^{-1} (−36)×(76−35​)×(1519​)×(−23​)−1

$(-36) \times\left(\frac{-35}{76}\right) \times\left(\frac{19}{15}\right) \times\left(\frac{3}{-2}\right)^{-1}$