Solve 8^-2/2^-4*3^4=

$$\frac { 8 ^ { - 2 } } { 2 ^ { - 4 } \cdot 3 ^ { 4 } } =$$

Evaluate

$$\frac{1}{324}\approx 0.00308642$$

Solution Steps

Calculate 8 to the power of -2 and get \frac{1}{64}.

$$\frac{\frac{1}{64}}{2^{-4}\times 3^{4}}$$

Calculate 2 to the power of -4 and get \frac{1}{16}.

$$\frac{\frac{1}{64}}{\frac{1}{16}\times 3^{4}}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{\frac{1}{64}}{\frac{1}{16}\times 81}$$

Multiply \frac{1}{16} and 81 to get \frac{81}{16}.

$$\frac{\frac{1}{64}}{\frac{81}{16}}$$

Divide \frac{1}{64} by \frac{81}{16} by multiplying \frac{1}{64} by the reciprocal of \frac{81}{16}.

$$\frac{1}{64}\times \frac{16}{81}$$

Multiply \frac{1}{64} and \frac{16}{81} to get \frac{1}{324}.

$$\frac{1}{324}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {4}} = 0.0030864197530864196$$