14⋅(23)2-423+8

A mixed number is an addition of its whole and fractional parts.

14⋅(23)2-(4+23)+8

Add 4 and 23.

To write 4 as a fraction with a common denominator, multiply by 33.

14⋅(23)2-(4⋅33+23)+8

Combine 4 and 33.

14⋅(23)2-(4⋅33+23)+8

Combine the numerators over the common denominator.

14⋅(23)2-4⋅3+23+8

Simplify the numerator.

Multiply 4 by 3.

14⋅(23)2-12+23+8

Add 12 and 2.

14⋅(23)2-143+8

14⋅(23)2-143+8

14⋅(23)2-143+8

14⋅(23)2-143+8

Apply the product rule to 23.

14⋅2232-143+8

Raise 2 to the power of 2.

14⋅432-143+8

Raise 3 to the power of 2.

14⋅49-143+8

Cancel the common factor of 4.

Cancel the common factor.

14⋅49-143+8

Rewrite the expression.

19-143+8

19-143+8

19-143+8

To write -143 as a fraction with a common denominator, multiply by 33.

19-143⋅33+8

Multiply 143 and 33.

19-14⋅33⋅3+8

Multiply 3 by 3.

19-14⋅39+8

19-14⋅39+8

Combine the numerators over the common denominator.

1-14⋅39+8

Multiply -14 by 3.

1-429+8

Subtract 42 from 1.

-419+8

-419+8

Move the negative in front of the fraction.

-419+8

To write 8 as a fraction with a common denominator, multiply by 99.

-419+8⋅99

Combine 8 and 99.

-419+8⋅99

Combine the numerators over the common denominator.

-41+8⋅99

Multiply 8 by 9.

-41+729

Add -41 and 72.

319

319

The result can be shown in multiple forms.

Exact Form:

319

Decimal Form:

3.4‾

Mixed Number Form:

349

Evaluate 1/4*(2/3)^2-4 2/3+8