Solve 27^-3/9^-3)^frac{1{5}}

$$\frac { 27 ^ { - 3 } } { 9 ^ { - 3 } } ) ^ { \frac { 1 } { 5 } }$$

Evaluate

$$\frac{1}{27}\approx 0.037037037$$

Solution Steps

Calculate 27 to the power of -3 and get \frac{1}{19683}.

$$\frac{\frac{1}{19683}}{9^{-3}}$$

Calculate 9 to the power of -3 and get \frac{1}{729}.

$$\frac{\frac{1}{19683}}{\frac{1}{729}}$$

Divide \frac{1}{19683} by \frac{1}{729} by multiplying \frac{1}{19683} by the reciprocal of \frac{1}{729}.

$$\frac{1}{19683}\times 729$$

Multiply \frac{1}{19683} and 729 to get \frac{1}{27}.

$$\frac{1}{27}$$

Factor

$$\frac{1}{3 ^ {3}} = 0.037037037037037035$$