|(75-35-12)(1-56)-235+24|

Move (1-56)-2 to the denominator using the negative exponent rule b-n=1bn.

|75-35-12(35+24)(1-56)2|

Cancel the common factor of 2 and 4.

Factor 2 out of 2.

|75-35-12(35+2(1)4)(1-56)2|

Cancel the common factors.

Factor 2 out of 4.

|75-35-12(35+2⋅12⋅2)(1-56)2|

Cancel the common factor.

|75-35-12(35+2⋅12⋅2)(1-56)2|

Rewrite the expression.

|75-35-12(35+12)(1-56)2|

|75-35-12(35+12)(1-56)2|

|75-35-12(35+12)(1-56)2|

|75-35-12(35+12)(1-56)2|

Combine the numerators over the common denominator.

|7-35-12(35+12)(1-56)2|

Subtract 3 from 7.

|45-12(35+12)(1-56)2|

To write 45 as a fraction with a common denominator, multiply by 22.

|45⋅22-12(35+12)(1-56)2|

To write -12 as a fraction with a common denominator, multiply by 55.

|45⋅22-12⋅55(35+12)(1-56)2|

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 45 and 22.

|4⋅25⋅2-12⋅55(35+12)(1-56)2|

Multiply 5 by 2.

|4⋅210-12⋅55(35+12)(1-56)2|

Multiply 12 and 55.

|4⋅210-52⋅5(35+12)(1-56)2|

Multiply 2 by 5.

|4⋅210-510(35+12)(1-56)2|

|4⋅210-510(35+12)(1-56)2|

Combine the numerators over the common denominator.

|4⋅2-510(35+12)(1-56)2|

Simplify the numerator.

Multiply 4 by 2.

|8-510(35+12)(1-56)2|

Subtract 5 from 8.

|310(35+12)(1-56)2|

|310(35+12)(1-56)2|

|310(35+12)(1-56)2|

To write 35 as a fraction with a common denominator, multiply by 22.

|310(35⋅22+12)(1-56)2|

To write 12 as a fraction with a common denominator, multiply by 55.

|310(35⋅22+12⋅55)(1-56)2|

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 35 and 22.

|310(3⋅25⋅2+12⋅55)(1-56)2|

Multiply 5 by 2.

|310(3⋅210+12⋅55)(1-56)2|

Multiply 12 and 55.

|310(3⋅210+52⋅5)(1-56)2|

Multiply 2 by 5.

|310(3⋅210+510)(1-56)2|

|310(3⋅210+510)(1-56)2|

Combine the numerators over the common denominator.

|3103⋅2+510(1-56)2|

Simplify the numerator.

Multiply 3 by 2.

|3106+510(1-56)2|

Add 6 and 5.

|3101110(1-56)2|

|3101110(1-56)2|

Write 1 as a fraction with a common denominator.

|3101110(66-56)2|

Combine the numerators over the common denominator.

|3101110(6-56)2|

Subtract 5 from 6.

|3101110(16)2|

Apply the product rule to 16.

|3101110⋅1262|

One to any power is one.

|3101110⋅162|

Raise 6 to the power of 2.

|3101110⋅136|

|3101110⋅136|

Multiply 1110 and 136.

|3101110⋅36|

Multiply 10 by 36.

|31011360|

|31011360|

Multiply the numerator by the reciprocal of the denominator.

|310⋅36011|

Factor 10 out of 360.

|310⋅10(36)11|

Cancel the common factor.

|310⋅10⋅3611|

Rewrite the expression.

|3(3611)|

|3(3611)|

Combine 3 and 3611.

|3⋅3611|

Multiply 3 by 36.

|10811|

10811 is approximately 9.81‾ which is positive so remove the absolute value

10811

The result can be shown in multiple forms.

Exact Form:

10811

Decimal Form:

9.81‾

Mixed Number Form:

9911

Evaluate |((7/5-3/5-1/2)(1-5/6)^-2)/(3/5+2/4)|