(-76)2-3(112-13)

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

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

Multiply 3 by 9.

49+2736

Add 49 and 27.

7636

7636

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)