Solve 1-2:3^2-6+8^3*(7+3)*0,1

$$1 - 2 : 3 ^ { 2 } - 6 + 8 ^ { 3 } \cdot ( 7 + 3 ) \cdot 0,1$$

Evaluate

$$\frac{4561}{9}\approx 506,777777778$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$1-\frac{2}{9}-6+8^{3}\left(7+3\right)\times 0,1$$

Convert 1 to fraction \frac{9}{9}.

$$\frac{9}{9}-\frac{2}{9}-6+8^{3}\left(7+3\right)\times 0,1$$

Since \frac{9}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{9}-6+8^{3}\left(7+3\right)\times 0,1$$

Subtract 2 from 9 to get 7.

$$\frac{7}{9}-6+8^{3}\left(7+3\right)\times 0,1$$

Convert 6 to fraction \frac{54}{9}.

$$\frac{7}{9}-\frac{54}{9}+8^{3}\left(7+3\right)\times 0,1$$

Since \frac{7}{9} and \frac{54}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-54}{9}+8^{3}\left(7+3\right)\times 0,1$$

Subtract 54 from 7 to get -47.

$$-\frac{47}{9}+8^{3}\left(7+3\right)\times 0,1$$

Calculate 8 to the power of 3 and get 512.

$$-\frac{47}{9}+512\left(7+3\right)\times 0,1$$

Add 7 and 3 to get 10.

$$-\frac{47}{9}+512\times 10\times 0,1$$

Multiply 512 and 10 to get 5120.

$$-\frac{47}{9}+5120\times 0,1$$

Multiply 5120 and 0,1 to get 512.

$$-\frac{47}{9}+512$$

Convert 512 to fraction \frac{4608}{9}.

$$-\frac{47}{9}+\frac{4608}{9}$$

Since -\frac{47}{9} and \frac{4608}{9} have the same denominator, add them by adding their numerators.

$$\frac{-47+4608}{9}$$

Add -47 and 4608 to get 4561.

$$\frac{4561}{9}$$

Factor

$$\frac{4561}{3 ^ {2}} = 506\frac{7}{9} = 506.77777777777777$$