# Evaluate (3^3-8|6-7|)/(7(6-4)-42÷7)

33-8|6-7|7(6-4)-42÷7
Cancel the common factor of 42 and 7.
Factor 7 out of 42.
33-8|6-7|7(6-4)-7⋅67
Cancel the common factors.
Factor 7 out of 7.
33-8|6-7|7(6-4)-7⋅67(1)
Cancel the common factor.
33-8|6-7|7(6-4)-7⋅67⋅1
Rewrite the expression.
33-8|6-7|7(6-4)-61
Divide 6 by 1.
33-8|6-7|7(6-4)-1⋅6
33-8|6-7|7(6-4)-1⋅6
33-8|6-7|7(6-4)-1⋅6
Simplify the numerator.
Raise 3 to the power of 3.
27-8|6-7|7(6-4)-1⋅6
Subtract 7 from 6.
27-8|-1|7(6-4)-1⋅6
The absolute value is the distance between a number and zero. The distance between -1 and 0 is 1.
27-8⋅17(6-4)-1⋅6
Multiply -8 by 1.
27-87(6-4)-1⋅6
Subtract 8 from 27.
197(6-4)-1⋅6
197(6-4)-1⋅6
Simplify the denominator.
Subtract 4 from 6.
197⋅2-1⋅6
Multiply 7 by 2.
1914-1⋅6
Multiply -1 by 6.
1914-6
Subtract 6 from 14.
198
198
The result can be shown in multiple forms.
Exact Form:
198
Decimal Form:
2.375
Mixed Number Form:
238
Evaluate (3^3-8|6-7|)/(7(6-4)-42÷7)

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