Solve 6^-10/81^-216^-3

$$\frac{ { 6 }^{ -10 } }{ { 81 }^{ -2 } { 16 }^{ -3 } }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Calculate 6 to the power of -10 and get \frac{1}{60466176}.

$$\frac{\frac{1}{60466176}}{81^{-2}\times 16^{-3}}$$

Calculate 81 to the power of -2 and get \frac{1}{6561}.

$$\frac{\frac{1}{60466176}}{\frac{1}{6561}\times 16^{-3}}$$

Calculate 16 to the power of -3 and get \frac{1}{4096}.

$$\frac{\frac{1}{60466176}}{\frac{1}{6561}\times \frac{1}{4096}}$$

Multiply \frac{1}{6561} and \frac{1}{4096} to get \frac{1}{26873856}.

$$\frac{\frac{1}{60466176}}{\frac{1}{26873856}}$$

Divide \frac{1}{60466176} by \frac{1}{26873856} by multiplying \frac{1}{60466176} by the reciprocal of \frac{1}{26873856}.

$$\frac{1}{60466176}\times 26873856$$

Multiply \frac{1}{60466176} and 26873856 to get \frac{4}{9}.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$