Solve 4^-4/3^-5

$$\frac{ { 4 }^{ -4 } }{ { 3 }^{ -5 } }$$

Evaluate

$$\frac{243}{256}=0.94921875$$

Solution Steps

Calculate 4 to the power of -4 and get \frac{1}{256}.

$$\frac{\frac{1}{256}}{3^{-5}}$$

Calculate 3 to the power of -5 and get \frac{1}{243}.

$$\frac{\frac{1}{256}}{\frac{1}{243}}$$

Divide \frac{1}{256} by \frac{1}{243} by multiplying \frac{1}{256} by the reciprocal of \frac{1}{243}.

$$\frac{1}{256}\times 243$$

Multiply \frac{1}{256} and 243 to get \frac{243}{256}.

$$\frac{243}{256}$$

Factor

$$\frac{3 ^ {5}}{2 ^ {8}} = 0.94921875$$