Solve (8^5:4^-2):2^-4=

$$( 8 ^ { 5 } : 4 ^ { - 2 } ) : 2 ^ { - 4 } =$$

Evaluate

$$8388608$$

Solution Steps

Calculate 8 to the power of 5 and get 32768.

$$\frac{\frac{32768}{4^{-2}}}{2^{-4}}$$

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

$$\frac{\frac{32768}{\frac{1}{16}}}{2^{-4}}$$

Divide 32768 by \frac{1}{16} by multiplying 32768 by the reciprocal of \frac{1}{16}.

$$\frac{32768\times 16}{2^{-4}}$$

Multiply 32768 and 16 to get 524288.

$$\frac{524288}{2^{-4}}$$

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

$$\frac{524288}{\frac{1}{16}}$$

Divide 524288 by \frac{1}{16} by multiplying 524288 by the reciprocal of \frac{1}{16}.

$$524288\times 16$$

Multiply 524288 and 16 to get 8388608.

$$8388608$$

Factor

$$2^{23}$$