Solve 10^4*((2.546)^2/201+3)

$$10 ^ { 4 } \cdot ( \frac { ( 2.546 ) ^ { 2 } } { 20 } 1 + 3 )$$

Evaluate

$$33241.058$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$10000\left(\frac{2.546^{2}}{20}\times 1+3\right)$$

Calculate 2.546 to the power of 2 and get 6.482116.

$$10000\left(\frac{6.482116}{20}\times 1+3\right)$$

Expand \frac{6.482116}{20} by multiplying both numerator and the denominator by 1000000.

$$10000\left(\frac{6482116}{20000000}\times 1+3\right)$$

Reduce the fraction \frac{6482116}{20000000} to lowest terms by extracting and canceling out 4.

$$10000\left(\frac{1620529}{5000000}\times 1+3\right)$$

Multiply \frac{1620529}{5000000} and 1 to get \frac{1620529}{5000000}.

$$10000\left(\frac{1620529}{5000000}+3\right)$$

Convert 3 to fraction \frac{15000000}{5000000}.

$$10000\left(\frac{1620529}{5000000}+\frac{15000000}{5000000}\right)$$

Since \frac{1620529}{5000000} and \frac{15000000}{5000000} have the same denominator, add them by adding their numerators.

$$10000\times \frac{1620529+15000000}{5000000}$$

Add 1620529 and 15000000 to get 16620529.

$$10000\times \frac{16620529}{5000000}$$

Express 10000\times \frac{16620529}{5000000} as a single fraction.

$$\frac{10000\times 16620529}{5000000}$$

Multiply 10000 and 16620529 to get 166205290000.

$$\frac{166205290000}{5000000}$$

Reduce the fraction \frac{166205290000}{5000000} to lowest terms by extracting and canceling out 10000.

$$\frac{16620529}{500}$$

Factor

$$\frac{16620529}{2 ^ {2} \cdot 5 ^ {3}} = 33241\frac{29}{500} = 33241.058$$