Solve 2^4*4^5*(1/8)^4

$$2 ^ { 4 } \times 4 ^ { 5 } \times ( \frac { 1 } { 8 } ) ^ { 4 }$$

Evaluate

$$4$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$16\times 4^{5}\times \left(\frac{1}{8}\right)^{4}$$

Calculate 4 to the power of 5 and get 1024.

$$16\times 1024\times \left(\frac{1}{8}\right)^{4}$$

Multiply 16 and 1024 to get 16384.

$$16384\times \left(\frac{1}{8}\right)^{4}$$

Calculate \frac{1}{8} to the power of 4 and get \frac{1}{4096}.

$$16384\times \frac{1}{4096}$$

Multiply 16384 and \frac{1}{4096} to get \frac{16384}{4096}.

$$\frac{16384}{4096}$$

Divide 16384 by 4096 to get 4.

$$4$$

Factor

$$2^{2}$$