Solve 1-4/-0.84^3

$$1- \frac{ 4 }{ - { 0.84 }^{ 3 } }$$

Evaluate

$$\frac{71761}{9261}\approx 7.748731239$$

Solution Steps

Calculate 0.84 to the power of 3 and get 0.592704.

$$1-\frac{4}{-0.592704}$$

Expand \frac{4}{-0.592704} by multiplying both numerator and the denominator by 1000000.

$$1-\frac{4000000}{-592704}$$

Reduce the fraction \frac{4000000}{-592704} to lowest terms by extracting and canceling out 64.

$$1-\left(-\frac{62500}{9261}\right)$$

The opposite of -\frac{62500}{9261} is \frac{62500}{9261}.

$$1+\frac{62500}{9261}$$

Convert 1 to fraction \frac{9261}{9261}.

$$\frac{9261}{9261}+\frac{62500}{9261}$$

Since \frac{9261}{9261} and \frac{62500}{9261} have the same denominator, add them by adding their numerators.

$$\frac{9261+62500}{9261}$$

Add 9261 and 62500 to get 71761.

$$\frac{71761}{9261}$$

Factor

$$\frac{71761}{3 ^ {3} \cdot 7 ^ {3}} = 7\frac{6934}{9261} = 7.7487312385271565$$