Solve 25^-3-sqrt[3]{-1}quadsqrt[3]{10^3}

$$25 ^ { - 3 } - \sqrt[ 3 ] { - 1 } \quad \sqrt[ 3 ] { 10 ^ { 3 } }$$

Evaluate

$$\frac{156251}{15625}=10.000064$$

Solution Steps

Calculate 25 to the power of -3 and get \frac{1}{15625}.

$$\frac{1}{15625}-\sqrt[3]{-1}\sqrt[3]{10^{3}}$$

Calculate \sqrt[3]{-1} and get -1.

$$\frac{1}{15625}-\left(-\sqrt[3]{10^{3}}\right)$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{1}{15625}-\left(-\sqrt[3]{1000}\right)$$

Calculate \sqrt[3]{1000} and get 10.

$$\frac{1}{15625}-\left(-10\right)$$

The opposite of -10 is 10.

$$\frac{1}{15625}+10$$

Add \frac{1}{15625} and 10 to get \frac{156251}{15625}.

$$\frac{156251}{15625}$$

Factor

$$\frac{37 \cdot 41 \cdot 103}{5 ^ {6}} = 10\frac{1}{15625} = 10.000064$$