Solve (1-sqrt[3]{-8})-(10^-4+1/10)

$$( 1 - \sqrt[ 3 ] { - 8 } ) - ( 10 ^ { - 4 } + \frac { 1 } { 10 } )$$

Evaluate

$$\frac{28999}{10000}=2.8999$$

Solution Steps

Calculate \sqrt[3]{-8} and get -2.

$$1-\left(-2\right)-\left(10^{-4}+\frac{1}{10}\right)$$

The opposite of -2 is 2.

$$1+2-\left(10^{-4}+\frac{1}{10}\right)$$

Add 1 and 2 to get 3.

$$3-\left(10^{-4}+\frac{1}{10}\right)$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$3-\left(\frac{1}{10000}+\frac{1}{10}\right)$$

Add \frac{1}{10000} and \frac{1}{10} to get \frac{1001}{10000}.

$$3-\frac{1001}{10000}$$

Subtract \frac{1001}{10000} from 3 to get \frac{28999}{10000}.

$$\frac{28999}{10000}$$

Factor

$$\frac{47 \cdot 617}{2 ^ {4} \cdot 5 ^ {4}} = 2\frac{8999}{10000} = 2.8999$$