Solve -32^8/(28)^3(-45^2)

$$\frac { - 32 ^ { 8 } } { ( 28 ) ^ { 3 } ( - 45 ^ { 2 } ) }$$

Evaluate

$$\frac{17179869184}{694575}\approx 24734.361564986$$

Solution Steps

Calculate 32 to the power of 8 and get 1099511627776.

$$\frac{-1099511627776}{28^{3}\left(-45^{2}\right)}$$

Calculate 28 to the power of 3 and get 21952.

$$\frac{-1099511627776}{21952\left(-45^{2}\right)}$$

Calculate 45 to the power of 2 and get 2025.

$$\frac{-1099511627776}{21952\left(-2025\right)}$$

Multiply 21952 and -2025 to get -44452800.

$$\frac{-1099511627776}{-44452800}$$

Reduce the fraction \frac{-1099511627776}{-44452800} to lowest terms by extracting and canceling out -64.

$$\frac{17179869184}{694575}$$

Factor

$$\frac{2 ^ {34}}{3 ^ {4} \cdot 5 ^ {2} \cdot 7 ^ {3}} = 24734\frac{251134}{694575} = 24734.361564985782$$