Evaluate (-5/4)^2-7(1/12-1/3)

Math
(-54)2-7(112-13)
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(112-13)
Apply the product rule to 54.
(-1)25242-7(112-13)
(-1)25242-7(112-13)
Raise -1 to the power of 2.
15242-7(112-13)
Multiply 5242 by 1.
5242-7(112-13)
Raise 5 to the power of 2.
2542-7(112-13)
Raise 4 to the power of 2.
2516-7(112-13)
To write -13 as a fraction with a common denominator, multiply by 44.
2516-7(112-13⋅44)
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 13 and 44.
2516-7(112-43⋅4)
Multiply 3 by 4.
2516-7(112-412)
2516-7(112-412)
Combine the numerators over the common denominator.
2516-71-412
Subtract 4 from 1.
2516-7(-312)
Cancel the common factor of -3 and 12.
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Factor 3 out of -3.
2516-73(-1)12
Cancel the common factors.
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Factor 3 out of 12.
2516-73⋅-13⋅4
Cancel the common factor.
2516-73⋅-13⋅4
Rewrite the expression.
2516-7(-14)
2516-7(-14)
2516-7(-14)
Move the negative in front of the fraction.
2516-7(-14)
Multiply -7(-14).
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Multiply -1 by -7.
2516+7(14)
Combine 7 and 14.
2516+74
2516+74
2516+74
To write 74 as a fraction with a common denominator, multiply by 44.
2516+74⋅44
Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.
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Multiply 74 and 44.
2516+7⋅44⋅4
Multiply 4 by 4.
2516+7⋅416
2516+7⋅416
Combine the numerators over the common denominator.
25+7⋅416
Simplify the numerator.
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Multiply 7 by 4.
25+2816
Add 25 and 28.
5316
5316
The result can be shown in multiple forms.
Exact Form:
5316
Decimal Form:
3.3125
Mixed Number Form:
3516
Evaluate (-5/4)^2-7(1/12-1/3)

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