Solve 4^3*16*32^3/8*64^-3=

$$\frac { 4 ^ { 3 } \cdot 16 \cdot 32 ^ { 3 } } { 8 \cdot 64 ^ { - 3 } } =$$

Evaluate

$$1099511627776$$

Solution Steps

Cancel out 8 in both numerator and denominator.

$$\frac{2\times 4^{3}\times 32^{3}}{64^{-3}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{2\times 64\times 32^{3}}{64^{-3}}$$

Multiply 2 and 64 to get 128.

$$\frac{128\times 32^{3}}{64^{-3}}$$

Calculate 32 to the power of 3 and get 32768.

$$\frac{128\times 32768}{64^{-3}}$$

Multiply 128 and 32768 to get 4194304.

$$\frac{4194304}{64^{-3}}$$

Calculate 64 to the power of -3 and get \frac{1}{262144}.

$$\frac{4194304}{\frac{1}{262144}}$$

Divide 4194304 by \frac{1}{262144} by multiplying 4194304 by the reciprocal of \frac{1}{262144}.

$$4194304\times 262144$$

Multiply 4194304 and 262144 to get 1099511627776.

$$1099511627776$$

Factor

$$2^{40}$$