Solve (4)(-10)^-4div(-10^-1)^-4

$$( 4 ) ( - 10 ) ^ { - 4 } \div ( - 10 ^ { - 1 } ) ^ { - 4 }$$

Evaluate

$$\frac{1}{25000000}=0.00000004$$

Solution Steps

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

$$\frac{4\times \frac{1}{10000}}{\left(-10^{-1}\right)^{-4}}$$

Multiply 4 and \frac{1}{10000} to get \frac{1}{2500}.

$$\frac{\frac{1}{2500}}{\left(-10^{-1}\right)^{-4}}$$

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

$$\frac{\frac{1}{2500}}{\left(-\frac{1}{10}\right)^{-4}}$$

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

$$\frac{\frac{1}{2500}}{10000}$$

Express \frac{\frac{1}{2500}}{10000} as a single fraction.

$$\frac{1}{2500\times 10000}$$

Multiply 2500 and 10000 to get 25000000.

$$\frac{1}{25000000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {8}} = 4 \times 10^{-8}$$