Solve (2,07*4^4)(7,75)-80:23,2=

$$( 2,07 \cdot 4 ^ { 4 } ) ( 7,75 ) - 80 : 23,2 =$$

Evaluate

$$\frac{2974988}{725}\approx 4103,431724138$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$2,07\times 256\times 7,75-\frac{80}{23,2}$$

Multiply 2,07 and 256 to get 529,92.

$$529,92\times 7,75-\frac{80}{23,2}$$

Multiply 529,92 and 7,75 to get 4106,88.

$$4106,88-\frac{80}{23,2}$$

Expand \frac{80}{23,2} by multiplying both numerator and the denominator by 10.

$$4106,88-\frac{800}{232}$$

Reduce the fraction \frac{800}{232} to lowest terms by extracting and canceling out 8.

$$4106,88-\frac{100}{29}$$

Convert decimal number 4106,88 to fraction \frac{410688}{100}. Reduce the fraction \frac{410688}{100} to lowest terms by extracting and canceling out 4.

$$\frac{102672}{25}-\frac{100}{29}$$

Least common multiple of 25 and 29 is 725. Convert \frac{102672}{25} and \frac{100}{29} to fractions with denominator 725.

$$\frac{2977488}{725}-\frac{2500}{725}$$

Since \frac{2977488}{725} and \frac{2500}{725} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2977488-2500}{725}$$

Subtract 2500 from 2977488 to get 2974988.

$$\frac{2974988}{725}$$

Factor

$$\frac{743747 \cdot 2 ^ {2}}{29 \cdot 5 ^ {2}} = 4103\frac{313}{725} = 4103.431724137931$$