Evaluate (|((6/3)^2-(1/2+(1/16)÷(1/2)*(5^2)/2))+(10^2*(4/5)^2)÷((2^6)/3)|)÷(36/15+(3/(2^2))^2*1/2)

Math
|((63)2-(12+116÷12⋅522))+102⋅(45)2÷263|÷(3615+(322)2⋅12)
Rewrite the division as a fraction.
|((63)2-(12+116÷12⋅522))+102⋅(45)2÷263|3615+(322)2⋅12
Reduce the expression by cancelling the common factors.
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Cancel the common factor of 6 and 3.
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Factor 3 out of 6.
|(3⋅23)2-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
Cancel the common factors.
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Factor 3 out of 3.
|(3⋅23(1))2-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
Cancel the common factor.
|(3⋅23⋅1)2-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
Rewrite the expression.
|(21)2-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
Divide 2 by 1.
|22-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
|22-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
|22-(12+116÷12⋅522)+102⋅(45)2÷263|3615+(322)2⋅12
Cancel the common factor of 36 and 15.
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Factor 3 out of 36.
|22-(12+116÷12⋅522)+102⋅(45)2÷263|3(12)15+(322)2⋅12
Cancel the common factors.
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Factor 3 out of 15.
|22-(12+116÷12⋅522)+102⋅(45)2÷263|3⋅123⋅5+(322)2⋅12
Cancel the common factor.
|22-(12+116÷12⋅522)+102⋅(45)2÷263|3⋅123⋅5+(322)2⋅12
Rewrite the expression.
|22-(12+116÷12⋅522)+102⋅(45)2÷263|125+(322)2⋅12
|22-(12+116÷12⋅522)+102⋅(45)2÷263|125+(322)2⋅12
|22-(12+116÷12⋅522)+102⋅(45)2÷263|125+(322)2⋅12
Evaluate the exponents.
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Raise 5 to the power of 2.
|22-(12+116÷12⋅252)+102⋅(45)2÷263|125+(322)2⋅12
Raise 2 to the power of 6.
|22-(12+116÷12⋅252)+102⋅(45)2643|125+(322)2⋅12
|22-(12+116÷12⋅252)+102⋅(45)2643|125+(322)2⋅12
|22-(12+116÷12⋅252)+102⋅(45)2643|125+(322)2⋅12
Simplify the numerator.
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Apply the product rule to 45.
|22-(12+116÷12⋅252)+1024252643|125+(322)2⋅12
Raise 10 to the power of 2.
|22-(12+116÷12⋅252)+1004252643|125+(322)2⋅12
Raise 4 to the power of 2.
|22-(12+116÷12⋅252)+1001652643|125+(322)2⋅12
Raise 5 to the power of 2.
|22-(12+116÷12⋅252)+100(1625)643|125+(322)2⋅12
|22-(12+116÷12⋅252)+100(1625)643|125+(322)2⋅12
Combine fractions.
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Combine 100 and 1625.
|22-(12+116÷12⋅252)+100⋅1625643|125+(322)2⋅12
Simplify the expression.
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Multiply 100 by 16.
|22-(12+116÷12⋅252)+160025643|125+(322)2⋅12
Divide 1600 by 25.
|22-(12+116÷12⋅252)+64643|125+(322)2⋅12
Raise 2 to the power of 2.
|22-(12+116÷12⋅252)+64643|125+(34)2⋅12
|22-(12+116÷12⋅252)+64643|125+(34)2⋅12
|22-(12+116÷12⋅252)+64643|125+(34)2⋅12
Simplify the numerator.
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Raise 2 to the power of 2.
|4-(12+116÷12⋅252)+64643|125+(34)2⋅12
Simplify each term.
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To divide by a fraction, multiply by its reciprocal.
|4-(12+116⋅2⋅252)+64643|125+(34)2⋅12
Cancel the common factor of 2.
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Factor 2 out of 116⋅2.
|4-(12+2⋅116⋅252)+64643|125+(34)2⋅12
Cancel the common factor.
|4-(12+2⋅116⋅252)+64643|125+(34)2⋅12
Rewrite the expression.
|4-(12+116⋅25)+64643|125+(34)2⋅12
|4-(12+116⋅25)+64643|125+(34)2⋅12
Combine 116 and 25.
|4-(12+2516)+64643|125+(34)2⋅12
|4-(12+2516)+64643|125+(34)2⋅12
To write 12 as a fraction with a common denominator, multiply by 88.
|4-(12⋅88+2516)+64643|125+(34)2⋅12
Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.
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Multiply 12 and 88.
|4-(82⋅8+2516)+64643|125+(34)2⋅12
Multiply 2 by 8.
|4-(816+2516)+64643|125+(34)2⋅12
|4-(816+2516)+64643|125+(34)2⋅12
Combine the numerators over the common denominator.
|4-8+2516+64643|125+(34)2⋅12
Add 8 and 25.
|4-3316+64643|125+(34)2⋅12
To write 4 as a fraction with a common denominator, multiply by 1616.
|4⋅1616-3316+64643|125+(34)2⋅12
Combine 4 and 1616.
|4⋅1616-3316+64643|125+(34)2⋅12
Combine the numerators over the common denominator.
|4⋅16-3316+64643|125+(34)2⋅12
Simplify the numerator.
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Multiply 4 by 16.
|64-3316+64643|125+(34)2⋅12
Subtract 33 from 64.
|3116+64643|125+(34)2⋅12
|3116+64643|125+(34)2⋅12
To write 3116 as a fraction with a common denominator, multiply by 643643.
|3116⋅643643+64643|125+(34)2⋅12
To write 64643 as a fraction with a common denominator, multiply by 1616.
|3116⋅643643+64643⋅1616|125+(34)2⋅12
Write each expression with a common denominator of 16(643), by multiplying each by an appropriate factor of 1.
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Multiply 3116 and 643643.
|31(643)16(643)+64643⋅1616|125+(34)2⋅12
Combine 16 and 643.
|31(643)16⋅643+64643⋅1616|125+(34)2⋅12
Multiply 64643 and 1616.
|31(643)16⋅643+64⋅16643⋅16|125+(34)2⋅12
Combine 643 and 16.
|31(643)16⋅643+64⋅1664⋅163|125+(34)2⋅12
Reorder terms.
|31(643)16⋅643+64⋅1616⋅643|125+(34)2⋅12
|31(643)16⋅643+64⋅1616⋅643|125+(34)2⋅12
Combine the numerators over the common denominator.
|31(643)+64⋅1616⋅643|125+(34)2⋅12
Rewrite 31(643)+64⋅1616⋅643 in a factored form.
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Multiply 31(643).
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Combine 31 and 643.
|31⋅643+64⋅1616⋅643|125+(34)2⋅12
Multiply 31 by 64.
|19843+64⋅1616⋅643|125+(34)2⋅12
|19843+64⋅1616⋅643|125+(34)2⋅12
Multiply 64 by 16.
|19843+102416⋅643|125+(34)2⋅12
To write 1024 as a fraction with a common denominator, multiply by 33.
|19843+1024⋅3316⋅643|125+(34)2⋅12
Combine 1024 and 33.
|19843+1024⋅3316⋅643|125+(34)2⋅12
Combine the numerators over the common denominator.
|1984+1024⋅3316⋅643|125+(34)2⋅12
Simplify the numerator.
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Multiply 1024 by 3.
|1984+3072316⋅643|125+(34)2⋅12
Add 1984 and 3072.
|5056316⋅643|125+(34)2⋅12
|5056316⋅643|125+(34)2⋅12
|5056316⋅643|125+(34)2⋅12
Multiply the numerator by the reciprocal of the denominator.
|50563⋅316⋅64|125+(34)2⋅12
Cancel the common factor of 3.
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Cancel the common factor.
|50563⋅316⋅64|125+(34)2⋅12
Rewrite the expression.
|5056116⋅64|125+(34)2⋅12
|5056116⋅64|125+(34)2⋅12
Multiply 16 by 64.
|5056(11024)|125+(34)2⋅12
Combine 5056 and 11024.
|50561024|125+(34)2⋅12
Cancel the common factor of 5056 and 1024.
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Factor 64 out of 5056.
|64(79)1024|125+(34)2⋅12
Cancel the common factors.
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Factor 64 out of 1024.
|64⋅7964⋅16|125+(34)2⋅12
Cancel the common factor.
|64⋅7964⋅16|125+(34)2⋅12
Rewrite the expression.
|7916|125+(34)2⋅12
|7916|125+(34)2⋅12
|7916|125+(34)2⋅12
7916 is approximately 4.9375 which is positive so remove the absolute value
7916125+(34)2⋅12
7916125+(34)2⋅12
Simplify the denominator.
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Apply the product rule to 34.
7916125+3242⋅12
Raise 3 to the power of 2.
7916125+942⋅12
Raise 4 to the power of 2.
7916125+916⋅12
Multiply 916⋅12.
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Multiply 916 and 12.
7916125+916⋅2
Multiply 16 by 2.
7916125+932
7916125+932
To write 125 as a fraction with a common denominator, multiply by 3232.
7916125⋅3232+932
To write 932 as a fraction with a common denominator, multiply by 55.
7916125⋅3232+932⋅55
Write each expression with a common denominator of 160, by multiplying each by an appropriate factor of 1.
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Multiply 125 and 3232.
791612⋅325⋅32+932⋅55
Multiply 5 by 32.
791612⋅32160+932⋅55
Multiply 932 and 55.
791612⋅32160+9⋅532⋅5
Multiply 32 by 5.
791612⋅32160+9⋅5160
791612⋅32160+9⋅5160
Combine the numerators over the common denominator.
791612⋅32+9⋅5160
Simplify the numerator.
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Multiply 12 by 32.
7916384+9⋅5160
Multiply 9 by 5.
7916384+45160
Add 384 and 45.
7916429160
7916429160
7916429160
Multiply the numerator by the reciprocal of the denominator.
7916⋅160429
Cancel the common factor of 16.
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Factor 16 out of 160.
7916⋅16(10)429
Cancel the common factor.
7916⋅16⋅10429
Rewrite the expression.
79(10429)
79(10429)
Combine 79 and 10429.
79⋅10429
Multiply 79 by 10.
790429
The result can be shown in multiple forms.
Exact Form:
790429
Decimal Form:
1.841491‾
Mixed Number Form:
1361429
Evaluate (|((6/3)^2-(1/2+(1/16)÷(1/2)*(5^2)/2))+(10^2*(4/5)^2)÷((2^6)/3)|)÷(36/15+(3/(2^2))^2*1/2)

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