Solve -25^-3*5^3/1*(-10)^-4

$$- \frac { 25 ^ { - 3 } \cdot 5 ^ { 3 } } { 1 \cdot ( - 10 ) ^ { - 4 } }$$

Evaluate

$$-80$$

Solution Steps

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

$$-\frac{\frac{1}{15625}\times 5^{3}}{1\left(-10\right)^{-4}}$$

Calculate 5 to the power of 3 and get 125.

$$-\frac{\frac{1}{15625}\times 125}{1\left(-10\right)^{-4}}$$

Multiply \frac{1}{15625} and 125 to get \frac{1}{125}.

$$-\frac{\frac{1}{125}}{1\left(-10\right)^{-4}}$$

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

$$-\frac{\frac{1}{125}}{1\times \frac{1}{10000}}$$

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

$$-\frac{\frac{1}{125}}{\frac{1}{10000}}$$

Divide \frac{1}{125} by \frac{1}{10000} by multiplying \frac{1}{125} by the reciprocal of \frac{1}{10000}.

$$-\frac{1}{125}\times 10000$$

Multiply \frac{1}{125} and 10000 to get 80.

$$-80$$

Factor

$$-80$$