Solve 8^2[1.625-sin(1.620)]/2=

$$\frac { 8 ^ { 2 } [ 1.625 - \sin ( 1.620 ) ] } { 2 } =$$

Evaluate

$$51.09534186335125584$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{8 ^ {2} {(1.625 - 0.028270566770273255)}}{2}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{64\left(1.625-0.028270566770273255\right)}{2}$$

Subtract 0.028270566770273255 from 1.625 to get 1.596729433229726745.

$$\frac{64\times 1.596729433229726745}{2}$$

Multiply 64 and 1.596729433229726745 to get 102.19068372670251168.

$$\frac{102.19068372670251168}{2}$$

Expand \frac{102.19068372670251168}{2} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{10219068372670251168}{200000000000000000}$$

Reduce the fraction \frac{10219068372670251168}{200000000000000000} to lowest terms by extracting and canceling out 32.

$$\frac{319345886645945349}{6250000000000000}$$

Factor

$$\frac{3 \cdot 106448628881981783}{2 ^ {13} \cdot 5 ^ {17}} = 51\frac{595886645945344}{6250000000000000} = 51.09534186335126$$