Solve 96(1.4^7-1)/(0.4)

$$\frac{ 96( { 1.4 }^{ 7 } -1) }{ (0.4) }$$

Evaluate

$$2289.924096$$

Solution Steps

Calculate 1.4 to the power of 7 and get 10.5413504.

$$\frac{96\left(10.5413504-1\right)}{0.4}$$

Subtract 1 from 10.5413504 to get 9.5413504.

$$\frac{96\times 9.5413504}{0.4}$$

Multiply 96 and 9.5413504 to get 915.9696384.

$$\frac{915.9696384}{0.4}$$

Expand \frac{915.9696384}{0.4} by multiplying both numerator and the denominator by 10000000.

$$\frac{9159696384}{4000000}$$

Reduce the fraction \frac{9159696384}{4000000} to lowest terms by extracting and canceling out 256.

$$\frac{35780064}{15625}$$

Factor

$$\frac{3 \cdot 372709 \cdot 2 ^ {5}}{5 ^ {6}} = 2289\frac{14439}{15625} = 2289.924096$$