Solve 81^-3/4*343^2/3

$$81 ^ { - 3 } / 4 \times 343 ^ { 2 / 3 }$$

Evaluate

$$\frac{49}{2125764}\approx 0.000023051$$

Solution Steps

Calculate 81 to the power of -3 and get \frac{1}{531441}.

$$\frac{\frac{1}{531441}}{4}\times 343^{\frac{2}{3}}$$

Express \frac{\frac{1}{531441}}{4} as a single fraction.

$$\frac{1}{531441\times 4}\times 343^{\frac{2}{3}}$$

Multiply 531441 and 4 to get 2125764.

$$\frac{1}{2125764}\times 343^{\frac{2}{3}}$$

Calculate 343 to the power of \frac{2}{3} and get 49.

$$\frac{1}{2125764}\times 49$$

Multiply \frac{1}{2125764} and 49 to get \frac{49}{2125764}.

$$\frac{49}{2125764}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3 ^ {12}} = 2.3050536183696777 \times 10^{-5}$$