Evaluate -(3(-3)^2(-5))/(2(-3)^3-(-5))

Problem

−(3*(−3)2*(−5))/(2*(−3)3−(−5))

Solution

1. Evaluate the exponents in the numerator and denominator by calculating (−3)2 and (−3)3

(−3)2=9

(−3)3=−27

2. Simplify the numerator by multiplying the remaining factors.

3*(9)*(−5)=27*(−5)

27*(−5)=−135

3. Simplify the denominator by performing the multiplication and handling the double negative.

2*(−27)−(−5)=−54+5

−54+5=−49

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

−(−135)/(−49)

5. Simplify the signs by noting that the two negatives inside the fraction cancel out, leaving the leading negative.

−135/49

Final Answer

−(3*(−3)2*(−5))/(2*(−3)3−(−5))=−135/49

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