Solve 1/3^-3*1/3^5

$$\frac { 1 } { 3 ^ { - 3 } } \cdot \frac { 1 } { 3 ^ { 5 } }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

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

$$\frac{1}{\frac{1}{27}}\times \frac{1}{3^{5}}$$

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

$$1\times 27\times \frac{1}{3^{5}}$$

Multiply 1 and 27 to get 27.

$$27\times \frac{1}{3^{5}}$$

Calculate 3 to the power of 5 and get 243.

$$27\times \frac{1}{243}$$

Multiply 27 and \frac{1}{243} to get \frac{1}{9}.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$