Solve 2^-3*4^8:8^5

$$2 ^ { - 3 } \cdot 4 ^ { 8 } : 8 ^ { 5 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{\frac{1}{8}\times 4^{8}}{8^{5}}$$

Calculate 4 to the power of 8 and get 65536.

$$\frac{\frac{1}{8}\times 65536}{8^{5}}$$

Multiply \frac{1}{8} and 65536 to get 8192.

$$\frac{8192}{8^{5}}$$

Calculate 8 to the power of 5 and get 32768.

$$\frac{8192}{32768}$$

Reduce the fraction \frac{8192}{32768} to lowest terms by extracting and canceling out 8192.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$