Solve -3^6*8^6/48^5

$$\frac { - 3 ^ { 6 } \cdot 8 ^ { 6 } } { 48 ^ { 5 } }$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

Calculate 3 to the power of 6 and get 729.

$$\frac{-729\times 8^{6}}{48^{5}}$$

Calculate 8 to the power of 6 and get 262144.

$$\frac{-729\times 262144}{48^{5}}$$

Multiply -729 and 262144 to get -191102976.

$$\frac{-191102976}{48^{5}}$$

Calculate 48 to the power of 5 and get 254803968.

$$\frac{-191102976}{254803968}$$

Reduce the fraction \frac{-191102976}{254803968} to lowest terms by extracting and canceling out 63700992.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$