Evaluate ((7-12)(9^-9))-5

Problem

(7−12)*(9(−9))−5

Solution

1. Simplify the expression inside the first set of parentheses by subtracting the numbers.

7−12=−5

2. Rewrite the expression using the result from the previous step.

(−5)*(9(−9))−5

3. Apply the negative exponent rule, which states that a(−n)=1/(an)

9(−9)=1/9

4. Calculate the value of 9 to find the denominator.

9=387420489

5. Substitute the value back into the expression and multiply.

−5⋅1/387420489−5=−5/387420489−5

6. Combine the terms into a single fraction by finding a common denominator.

−5=−(5⋅387420489)/387420489=−1937102445/387420489

7. Add the two fractions together.

−5/387420489−1937102445/387420489=−1937102450/387420489

Final Answer

(7−12)*(9(−9))−5=−1937102450/387420489

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