Solve -(-2)^2*0.25+3/8*2^4div2/(-3)*0.3+[(-3)^2-(-2)^3]div(-10)

$$\frac { - ( - 2 ) ^ { 2 } \times 0.25 + \frac { 3 } { 8 } \times 2 ^ { 4 } \div 2 } { ( - 3 ) \times 0.3 + [ ( - 3 ) ^ { 2 } - ( - 2 ) ^ { 3 } ] \div ( - 10 ) }$$

Evaluate

$$-\frac{10}{13}\approx -0.769230769$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$\frac{-4\times 0.25+\frac{\frac{3}{8}\times 2^{4}}{2}}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Multiply -4 and 0.25 to get -1.

$$\frac{-1+\frac{\frac{3}{8}\times 2^{4}}{2}}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{-1+\frac{\frac{3}{8}\times 16}{2}}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Express \frac{3}{8}\times 16 as a single fraction.

$$\frac{-1+\frac{\frac{3\times 16}{8}}{2}}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Multiply 3 and 16 to get 48.

$$\frac{-1+\frac{\frac{48}{8}}{2}}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Divide 48 by 8 to get 6.

$$\frac{-1+\frac{6}{2}}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Divide 6 by 2 to get 3.

$$\frac{-1+3}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Add -1 and 3 to get 2.

$$\frac{2}{-3\times 0.3+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Multiply -3 and 0.3 to get -0.9.

$$\frac{2}{-0.9+\frac{\left(-3\right)^{2}-\left(-2\right)^{3}}{-10}}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{2}{-0.9+\frac{9-\left(-2\right)^{3}}{-10}}$$

Calculate -2 to the power of 3 and get -8.

$$\frac{2}{-0.9+\frac{9-\left(-8\right)}{-10}}$$

The opposite of -8 is 8.

$$\frac{2}{-0.9+\frac{9+8}{-10}}$$

Add 9 and 8 to get 17.

$$\frac{2}{-0.9+\frac{17}{-10}}$$

Fraction \frac{17}{-10} can be rewritten as -\frac{17}{10} by extracting the negative sign.

$$\frac{2}{-0.9-\frac{17}{10}}$$

Convert decimal number -0.9 to fraction -\frac{9}{10}.

$$\frac{2}{-\frac{9}{10}-\frac{17}{10}}$$

Since -\frac{9}{10} and \frac{17}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{\frac{-9-17}{10}}$$

Subtract 17 from -9 to get -26.

$$\frac{2}{\frac{-26}{10}}$$

Reduce the fraction \frac{-26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{-\frac{13}{5}}$$

Divide 2 by -\frac{13}{5} by multiplying 2 by the reciprocal of -\frac{13}{5}.

$$2\left(-\frac{5}{13}\right)$$

Express 2\left(-\frac{5}{13}\right) as a single fraction.

$$\frac{2\left(-5\right)}{13}$$

Multiply 2 and -5 to get -10.

$$\frac{-10}{13}$$

Fraction \frac{-10}{13} can be rewritten as -\frac{10}{13} by extracting the negative sign.

$$-\frac{10}{13}$$

Factor

$$-\frac{10}{13} = -0.7692307692307693$$