Solve 9(2-(6div(4^2)+81=

$$9(2-(6 \div ( { 4 }^{ 2 } )+81=$$

Evaluate

$$-\frac{5715}{8}=-714.375$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$9\left(2-\left(\frac{6}{16}+81\right)\right)$$

Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.

$$9\left(2-\left(\frac{3}{8}+81\right)\right)$$

Convert 81 to fraction \frac{648}{8}.

$$9\left(2-\left(\frac{3}{8}+\frac{648}{8}\right)\right)$$

Since \frac{3}{8} and \frac{648}{8} have the same denominator, add them by adding their numerators.

$$9\left(2-\frac{3+648}{8}\right)$$

Add 3 and 648 to get 651.

$$9\left(2-\frac{651}{8}\right)$$

Convert 2 to fraction \frac{16}{8}.

$$9\left(\frac{16}{8}-\frac{651}{8}\right)$$

Since \frac{16}{8} and \frac{651}{8} have the same denominator, subtract them by subtracting their numerators.

$$9\times \frac{16-651}{8}$$

Subtract 651 from 16 to get -635.

$$9\left(-\frac{635}{8}\right)$$

Express 9\left(-\frac{635}{8}\right) as a single fraction.

$$\frac{9\left(-635\right)}{8}$$

Multiply 9 and -635 to get -5715.

$$\frac{-5715}{8}$$

Fraction \frac{-5715}{8} can be rewritten as -\frac{5715}{8} by extracting the negative sign.

$$-\frac{5715}{8}$$

Factor

$$-\frac{5715}{8} = -714\frac{3}{8} = -714.375$$