Solve (3^5-5^-4)(2^-5-3^2)

$$( 3 ^ { 5 } - 5 ^ { - 4 } ) ( 2 ^ { - 5 } - 3 ^ { 2 } )$$

Evaluate

$$-\frac{21793919}{10000}=-2179.3919$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$\left(243-5^{-4}\right)\left(2^{-5}-3^{2}\right)$$

Calculate 5 to the power of -4 and get \frac{1}{625}.

$$\left(243-\frac{1}{625}\right)\left(2^{-5}-3^{2}\right)$$

Subtract \frac{1}{625} from 243 to get \frac{151874}{625}.

$$\frac{151874}{625}\left(2^{-5}-3^{2}\right)$$

Calculate 2 to the power of -5 and get \frac{1}{32}.

$$\frac{151874}{625}\left(\frac{1}{32}-3^{2}\right)$$

Calculate 3 to the power of 2 and get 9.

$$\frac{151874}{625}\left(\frac{1}{32}-9\right)$$

Subtract 9 from \frac{1}{32} to get -\frac{287}{32}.

$$\frac{151874}{625}\left(-\frac{287}{32}\right)$$

Multiply \frac{151874}{625} and -\frac{287}{32} to get -\frac{21793919}{10000}.

$$-\frac{21793919}{10000}$$

Factor

$$-\frac{21793919}{10000} = -2179\frac{3919}{10000} = -2179.3919$$