Evaluate -(3(3)^2(-7))/(2(3)^3-(-7))

Problem

−(3*(3)2*(−7))/(2*(3)3−(−7))

Solution

1. Evaluate the numerator by calculating the power first, then multiplying the remaining factors.

3=9

3*(9)*(−7)=27*(−7)=−189

2. Evaluate the denominator by calculating the power, multiplying, and then performing the subtraction.

3=27

2*(27)−(−7)=54+7=61

3. Combine the results into the fraction and apply the leading negative sign.

−(−189)/61

4. Simplify the signs by noting that the negative of a negative fraction results in a positive value.

189/61

Final Answer

−(3*(3)2*(−7))/(2*(3)3−(−7))=189/61

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