Solve 64*2*8^3/8*2^-5=

$$\frac { 64 \cdot 2 \cdot 8 ^ { 3 } } { 8 \cdot 2 ^ { - 5 } } =$$

Evaluate

$$262144$$

Solution Steps

Cancel out 8 in both numerator and denominator.

$$\frac{2\times 8\times 8^{3}}{2^{-5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$8\times 2^{6}\times 8^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$8^{4}\times 2^{6}$$

Calculate 8 to the power of 4 and get 4096.

$$4096\times 2^{6}$$

Calculate 2 to the power of 6 and get 64.

$$4096\times 64$$

Multiply 4096 and 64 to get 262144.

$$262144$$

Factor

$$2^{18}$$