Evaluate (-5/4)^2-7(1/12-1/13)

Math
(-54)2-7(112-113)
Simplify each term.
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Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -54.
(-1)2(54)2-7(112-113)
Apply the product rule to 54.
(-1)25242-7(112-113)
(-1)25242-7(112-113)
Raise -1 to the power of 2.
15242-7(112-113)
Multiply 5242 by 1.
5242-7(112-113)
Raise 5 to the power of 2.
2542-7(112-113)
Raise 4 to the power of 2.
2516-7(112-113)
To write 112 as a fraction with a common denominator, multiply by 1313.
2516-7(112⋅1313-113)
To write -113 as a fraction with a common denominator, multiply by 1212.
2516-7(112⋅1313-113⋅1212)
Write each expression with a common denominator of 156, by multiplying each by an appropriate factor of 1.
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Multiply 112 and 1313.
2516-7(1312⋅13-113⋅1212)
Multiply 12 by 13.
2516-7(13156-113⋅1212)
Multiply 113 and 1212.
2516-7(13156-1213⋅12)
Multiply 13 by 12.
2516-7(13156-12156)
2516-7(13156-12156)
Combine the numerators over the common denominator.
2516-713-12156
Subtract 12 from 13.
2516-7(1156)
Combine -7 and 1156.
2516+-7156
Move the negative in front of the fraction.
2516-7156
2516-7156
To write 2516 as a fraction with a common denominator, multiply by 3939.
2516⋅3939-7156
To write -7156 as a fraction with a common denominator, multiply by 44.
2516⋅3939-7156⋅44
Write each expression with a common denominator of 624, by multiplying each by an appropriate factor of 1.
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Multiply 2516 and 3939.
25⋅3916⋅39-7156⋅44
Multiply 16 by 39.
25⋅39624-7156⋅44
Multiply 7156 and 44.
25⋅39624-7⋅4156⋅4
Multiply 156 by 4.
25⋅39624-7⋅4624
25⋅39624-7⋅4624
Combine the numerators over the common denominator.
25⋅39-7⋅4624
Simplify the numerator.
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Multiply 25 by 39.
975-7⋅4624
Multiply -7 by 4.
975-28624
Subtract 28 from 975.
947624
947624
The result can be shown in multiple forms.
Exact Form:
947624
Decimal Form:
1.51762820…
Mixed Number Form:
1323624
Evaluate (-5/4)^2-7(1/12-1/13)

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