Solve -4{left(4/10right)}^-2-124/10{left(1-{left(4/10right)}^2right)}^-324/10-6left(1-{left(frac{4}{10}right)}^2right)

$$-4 { \left( \frac{ 4 }{ 10 } \right) }^{ -2 } -12 \frac{ 4 }{ 10 } { \left(1- { \left( \frac{ 4 }{ 10 } \right) }^{ 2 } \right) }^{ -3 } 2 \frac{ 4 }{ 10 } -6 \left( 1- { \left( \frac{ 4 }{ 10 } \right) }^{ 2 } \right)$$

Evaluate

$$-\frac{6193337}{77175}\approx -80.250560415$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-4\times \left(\frac{2}{5}\right)^{-2}-\frac{12\times 10+4}{10}\left(1-\left(\frac{4}{10}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Calculate \frac{2}{5} to the power of -2 and get \frac{25}{4}.

$$-4\times \frac{25}{4}-\frac{12\times 10+4}{10}\left(1-\left(\frac{4}{10}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Multiply -4 and \frac{25}{4} to get -25.

$$-25-\frac{12\times 10+4}{10}\left(1-\left(\frac{4}{10}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Multiply 12 and 10 to get 120.

$$-25-\frac{120+4}{10}\left(1-\left(\frac{4}{10}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Add 120 and 4 to get 124.

$$-25-\frac{124}{10}\left(1-\left(\frac{4}{10}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Reduce the fraction \frac{124}{10} to lowest terms by extracting and canceling out 2.

$$-25-\frac{62}{5}\left(1-\left(\frac{4}{10}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-25-\frac{62}{5}\left(1-\left(\frac{2}{5}\right)^{2}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$-25-\frac{62}{5}\left(1-\frac{4}{25}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Subtract \frac{4}{25} from 1 to get \frac{21}{25}.

$$-25-\frac{62}{5}\times \left(\frac{21}{25}\right)^{-3}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Calculate \frac{21}{25} to the power of -3 and get \frac{15625}{9261}.

$$-25-\frac{62}{5}\times \frac{15625}{9261}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Multiply \frac{62}{5} and \frac{15625}{9261} to get \frac{193750}{9261}.

$$-25-\frac{193750}{9261}\times \frac{2\times 10+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Multiply 2 and 10 to get 20.

$$-25-\frac{193750}{9261}\times \frac{20+4}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Add 20 and 4 to get 24.

$$-25-\frac{193750}{9261}\times \frac{24}{10}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$-25-\frac{193750}{9261}\times \frac{12}{5}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Multiply \frac{193750}{9261} and \frac{12}{5} to get \frac{155000}{3087}.

$$-25-\frac{155000}{3087}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Subtract \frac{155000}{3087} from -25 to get -\frac{232175}{3087}.

$$-\frac{232175}{3087}-6\left(1-\left(\frac{4}{10}\right)^{2}\right)$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{232175}{3087}-6\left(1-\left(\frac{2}{5}\right)^{2}\right)$$

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$-\frac{232175}{3087}-6\left(1-\frac{4}{25}\right)$$

Subtract \frac{4}{25} from 1 to get \frac{21}{25}.

$$-\frac{232175}{3087}-6\times \frac{21}{25}$$

Multiply 6 and \frac{21}{25} to get \frac{126}{25}.

$$-\frac{232175}{3087}-\frac{126}{25}$$

Subtract \frac{126}{25} from -\frac{232175}{3087} to get -\frac{6193337}{77175}.

$$-\frac{6193337}{77175}$$

Factor

$$-\frac{6193337}{77175} = -80\frac{19337}{77175} = -80.25056041464205$$