Solve 45/9^2tan(2^2)

$$\frac{ 45 }{ { 9 }^{ 2 } } \tan ( { 2 }^{ 2 } )$$

Evaluate

$$\frac{2330893731450347}{60000000000000000}\approx 0.038848229$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{45}{{(9)} ^ {2}} 0.06992681194351041$$

Calculate 9 to the power of 2 and get 81.

$$\frac{45}{81}\times 0.06992681194351041$$

Reduce the fraction \frac{45}{81} to lowest terms by extracting and canceling out 9.

$$\frac{5}{9}\times 0.06992681194351041$$

Convert decimal number 0.06992681194351041 to fraction \frac{6992681194351041}{10000000000}. Reduce the fraction \frac{6992681194351041}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{5}{9}\times \frac{6992681194351041}{100000000000000000}$$

Multiply \frac{5}{9} times \frac{6992681194351041}{100000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6992681194351041}{9\times 100000000000000000}$$

Do the multiplications in the fraction \frac{5\times 6992681194351041}{9\times 100000000000000000}.

$$\frac{34963405971755205}{900000000000000000}$$

Reduce the fraction \frac{34963405971755205}{900000000000000000} to lowest terms by extracting and canceling out 15.

$$\frac{2330893731450347}{60000000000000000}$$

Factor

$$\frac{7 \cdot 61 \cdot 71 \cdot 20759 \cdot 3703649}{3 \cdot 2 ^ {17} \cdot 5 ^ {16}} = 0.03884822885750578$$