Solve 81^-4div49^-frac{1{2}}*(2/3)

$$81 ^ { - 4 } \div 49 ^ { - \frac { 1 } { 2 } } \times ( \frac { 2 } { 3 } )$$

Evaluate

$$\frac{14}{129140163}\approx 0.000000108$$

Solution Steps

Calculate 81 to the power of -4 and get \frac{1}{43046721}.

$$\frac{\frac{1}{43046721}}{49^{-\frac{1}{2}}}\times \frac{2}{3}$$

Calculate 49 to the power of -\frac{1}{2} and get \frac{1}{7}.

$$\frac{\frac{1}{43046721}}{\frac{1}{7}}\times \frac{2}{3}$$

Divide \frac{1}{43046721} by \frac{1}{7} by multiplying \frac{1}{43046721} by the reciprocal of \frac{1}{7}.

$$\frac{1}{43046721}\times 7\times \frac{2}{3}$$

Multiply \frac{1}{43046721} and 7 to get \frac{7}{43046721}.

$$\frac{7}{43046721}\times \frac{2}{3}$$

Multiply \frac{7}{43046721} and \frac{2}{3} to get \frac{14}{129140163}.

$$\frac{14}{129140163}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {17}} = 1.084093412519543 \times 10^{-7}$$