Evaluate -6/((18^4)/6)

Problem

−6/18/6

Solution

1. Simplify the denominator by rewriting the division as a fraction.

18/6

2. Expand the power of 18 to make the division easier.

(18⋅18)/6

3. Divide 18 by 6 to simplify the denominator expression.

3⋅18

4. Substitute the simplified denominator back into the original expression.

−6/(3⋅18)

5. Reduce the fraction by dividing the numerator 6 by the factor 3 in the denominator.

−2/18

6. Calculate the value of 18

18=5832

7. Simplify the resulting fraction by dividing both the numerator and denominator by 2.

−2/5832=−1/2916

Final Answer

−6/18/6=−1/2916

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