Solve 20.733+2.5/1220.733^4

$$20.733+ \frac{ 2.5 }{ 12 } { 20.733 }^{ 4 }$$

Evaluate

$$38516.001522172816875$$

Solution Steps

Expand \frac{2.5}{12} by multiplying both numerator and the denominator by 10.

$$20.733+\frac{25}{120}\times 20.733^{4}$$

Reduce the fraction \frac{25}{120} to lowest terms by extracting and canceling out 5.

$$20.733+\frac{5}{24}\times 20.733^{4}$$

Calculate 20.733 to the power of 4 and get 184777.288906429521.

$$20.733+\frac{5}{24}\times 184777.288906429521$$

Convert decimal number 184777.288906429521 to fraction \frac{184777288906429521}{10000000000}. Reduce the fraction \frac{184777288906429521}{10000000000} to lowest terms by extracting and canceling out 1.

$$20.733+\frac{5}{24}\times \frac{184777288906429521}{1000000000000}$$

Multiply \frac{5}{24} times \frac{184777288906429521}{1000000000000} by multiplying numerator times numerator and denominator times denominator.

$$20.733+\frac{5\times 184777288906429521}{24\times 1000000000000}$$

Do the multiplications in the fraction \frac{5\times 184777288906429521}{24\times 1000000000000}.

$$20.733+\frac{923886444532147605}{24000000000000}$$

Reduce the fraction \frac{923886444532147605}{24000000000000} to lowest terms by extracting and canceling out 15.

$$20.733+\frac{61592429635476507}{1600000000000}$$

Convert decimal number 20.733 to fraction \frac{20733}{1000}.

$$\frac{20733}{1000}+\frac{61592429635476507}{1600000000000}$$

Least common multiple of 1000 and 1600000000000 is 1600000000000. Convert \frac{20733}{1000} and \frac{61592429635476507}{1600000000000} to fractions with denominator 1600000000000.

$$\frac{33172800000000}{1600000000000}+\frac{61592429635476507}{1600000000000}$$

Since \frac{33172800000000}{1600000000000} and \frac{61592429635476507}{1600000000000} have the same denominator, add them by adding their numerators.

$$\frac{33172800000000+61592429635476507}{1600000000000}$$

Add 33172800000000 and 61592429635476507 to get 61625602435476507.

$$\frac{61625602435476507}{1600000000000}$$

Factor

$$\frac{3 \cdot 17 \cdot 97 \cdot 6911 \cdot 37117 \cdot 48563}{2 ^ {15} \cdot 5 ^ {11}} = 38516\frac{2435476504}{1600000000000} = 38516.00152217282$$