Solve 50-(15+(4^2%(10-2)+5*2))

$$50-(15+( { 4 }^{ 2 } \% (10-2)+5 \times 2))$$

Evaluate

$$\frac{593}{25}=23.72$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$50-\left(15+\frac{16}{100}\left(10-2\right)+5\times 2\right)$$

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$50-\left(15+\frac{4}{25}\left(10-2\right)+5\times 2\right)$$

Subtract 2 from 10 to get 8.

$$50-\left(15+\frac{4}{25}\times 8+5\times 2\right)$$

Express \frac{4}{25}\times 8 as a single fraction.

$$50-\left(15+\frac{4\times 8}{25}+5\times 2\right)$$

Multiply 4 and 8 to get 32.

$$50-\left(15+\frac{32}{25}+5\times 2\right)$$

Convert 15 to fraction \frac{375}{25}.

$$50-\left(\frac{375}{25}+\frac{32}{25}+5\times 2\right)$$

Since \frac{375}{25} and \frac{32}{25} have the same denominator, add them by adding their numerators.

$$50-\left(\frac{375+32}{25}+5\times 2\right)$$

Add 375 and 32 to get 407.

$$50-\left(\frac{407}{25}+5\times 2\right)$$

Multiply 5 and 2 to get 10.

$$50-\left(\frac{407}{25}+10\right)$$

Convert 10 to fraction \frac{250}{25}.

$$50-\left(\frac{407}{25}+\frac{250}{25}\right)$$

Since \frac{407}{25} and \frac{250}{25} have the same denominator, add them by adding their numerators.

$$50-\frac{407+250}{25}$$

Add 407 and 250 to get 657.

$$50-\frac{657}{25}$$

Convert 50 to fraction \frac{1250}{25}.

$$\frac{1250}{25}-\frac{657}{25}$$

Since \frac{1250}{25} and \frac{657}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1250-657}{25}$$

Subtract 657 from 1250 to get 593.

$$\frac{593}{25}$$

Factor

$$\frac{593}{5 ^ {2}} = 23\frac{18}{25} = 23.72$$