# Simplify (-7/6)^2-3(1/12-1/3) (-76)2-3(112-13)
Simplify each term.
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -76.
(-1)2(76)2-3(112-13)
Apply the product rule to 76.
(-1)27262-3(112-13)
(-1)27262-3(112-13)
Raise -1 to the power of 2.
17262-3(112-13)
Multiply 7262 by 1.
7262-3(112-13)
Raise 7 to the power of 2.
4962-3(112-13)
Raise 6 to the power of 2.
4936-3(112-13)
To write -13 as a fraction with a common denominator, multiply by 44.
4936-3(112-13⋅44)
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 13 and 44.
4936-3(112-43⋅4)
Multiply 3 by 4.
4936-3(112-412)
4936-3(112-412)
Combine the numerators over the common denominator.
4936-31-412
Subtract 4 from 1.
4936-3(-312)
Cancel the common factor of 3.
Factor 3 out of -3.
4936+3(-1)-312
Factor 3 out of 12.
4936+3⋅-1-33⋅4
Cancel the common factor.
4936+3⋅-1-33⋅4
Rewrite the expression.
4936-1(-34)
4936-1(-34)
Move the negative in front of the fraction.
4936-1(-34)
Multiply -1(-34).
Multiply -1 by -1.
4936+1(34)
Multiply 34 by 1.
4936+34
4936+34
4936+34
To write 34 as a fraction with a common denominator, multiply by 99.
4936+34⋅99
Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.
Multiply 34 and 99.
4936+3⋅94⋅9
Multiply 4 by 9.
4936+3⋅936
4936+3⋅936
Combine the numerators over the common denominator.
49+3⋅936
Simplify the numerator.
Multiply 3 by 9.
49+2736
Add 49 and 27.
7636
7636
Cancel the common factor of 76 and 36.
Factor 4 out of 76.
4(19)36
Cancel the common factors.
Factor 4 out of 36.
4⋅194⋅9
Cancel the common factor.
4⋅194⋅9
Rewrite the expression.
199
199
199
The result can be shown in multiple forms.
Exact Form:
199
Decimal Form:
2.1‾
Mixed Number Form:
219
Simplify (-7/6)^2-3(1/12-1/3)

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