Solve (5.9^3-3^5)*1/7.3^5

$$( 5.9 ^ { 3 } - 3 ^ { 5 } ) \cdot \frac { 1 } { 7.3 ^ { 5 } }$$

Evaluate

$$-\frac{3762100}{2073071593}\approx -0.001814747$$

Solution Steps

Calculate 5.9 to the power of 3 and get 205.379.

$$\left(205.379-3^{5}\right)\times \frac{1}{7.3^{5}}$$

Calculate 3 to the power of 5 and get 243.

$$\left(205.379-243\right)\times \frac{1}{7.3^{5}}$$

Subtract 243 from 205.379 to get -37.621.

$$-37.621\times \frac{1}{7.3^{5}}$$

Calculate 7.3 to the power of 5 and get 20730.71593.

$$-37.621\times \frac{1}{20730.71593}$$

Expand \frac{1}{20730.71593} by multiplying both numerator and the denominator by 100000.

$$-37.621\times \frac{100000}{2073071593}$$

Convert decimal number -37.621 to fraction -\frac{37621}{1000}.

$$-\frac{37621}{1000}\times \frac{100000}{2073071593}$$

Multiply -\frac{37621}{1000} times \frac{100000}{2073071593} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-37621\times 100000}{1000\times 2073071593}$$

Do the multiplications in the fraction \frac{-37621\times 100000}{1000\times 2073071593}.

$$\frac{-3762100000}{2073071593000}$$

Reduce the fraction \frac{-3762100000}{2073071593000} to lowest terms by extracting and canceling out 1000.

$$-\frac{3762100}{2073071593}$$

Factor

$$-\frac{3762100}{2073071593} = -0.0018147467809135139$$