Solve 5.07(7.6)^3-3.9(7.6)^2-0.6(7.6)

$$5.07 ( 7.6 ) ^ { 3 } - 3.9 ( 7.6 ) ^ { 2 } - 0.6 ( 7.6 )$$

Evaluate

$$1995.78432$$

Solution Steps

Calculate 7.6 to the power of 3 and get 438.976.

$$5.07\times 438.976-3.9\times 7.6^{2}-0.6\times 7.6$$

Multiply 5.07 and 438.976 to get 2225.60832.

$$2225.60832-3.9\times 7.6^{2}-0.6\times 7.6$$

Calculate 7.6 to the power of 2 and get 57.76.

$$2225.60832-3.9\times 57.76-0.6\times 7.6$$

Multiply 3.9 and 57.76 to get 225.264.

$$2225.60832-225.264-0.6\times 7.6$$

Subtract 225.264 from 2225.60832 to get 2000.34432.

$$2000.34432-0.6\times 7.6$$

Multiply 0.6 and 7.6 to get 4.56.

$$2000.34432-4.56$$

Subtract 4.56 from 2000.34432 to get 1995.78432.

$$1995.78432$$

Factor

$$\frac{2 \cdot 3 \cdot 19 \cdot 54709}{5 ^ {5}} = 1995\frac{2451}{3125} = 1995.78432$$