Solve -1div(-3)^-2div(-3)^-3

$$- 1 \div ( - 3 ) ^ { - 2 } \div ( - 3 ) ^ { - 3 }$$

Evaluate

$$243$$

Solution Steps

Calculate -3 to the power of -2 and get \frac{1}{9}.

$$\frac{\frac{-1}{\frac{1}{9}}}{\left(-3\right)^{-3}}$$

Divide -1 by \frac{1}{9} by multiplying -1 by the reciprocal of \frac{1}{9}.

$$\frac{-9}{\left(-3\right)^{-3}}$$

Calculate -3 to the power of -3 and get -\frac{1}{27}.

$$\frac{-9}{-\frac{1}{27}}$$

Divide -9 by -\frac{1}{27} by multiplying -9 by the reciprocal of -\frac{1}{27}.

$$-9\left(-27\right)$$

Multiply -9 and -27 to get 243.

$$243$$

Factor

$$3^{5}$$