Solve 16^5*(1/2)^5*(1/4)^5

$$16 ^ { 5 } \cdot ( \frac { 1 } { 2 } ) ^ { 5 } \cdot ( \frac { 1 } { 4 } ) ^ { 5 }$$

Evaluate

$$32$$

Solution Steps

Calculate 16 to the power of 5 and get 1048576.

$$1048576\times \left(\frac{1}{2}\right)^{5}\times \left(\frac{1}{4}\right)^{5}$$

Calculate \frac{1}{2} to the power of 5 and get \frac{1}{32}.

$$1048576\times \frac{1}{32}\times \left(\frac{1}{4}\right)^{5}$$

Multiply 1048576 and \frac{1}{32} to get \frac{1048576}{32}.

$$\frac{1048576}{32}\times \left(\frac{1}{4}\right)^{5}$$

Divide 1048576 by 32 to get 32768.

$$32768\times \left(\frac{1}{4}\right)^{5}$$

Calculate \frac{1}{4} to the power of 5 and get \frac{1}{1024}.

$$32768\times \frac{1}{1024}$$

Multiply 32768 and \frac{1}{1024} to get \frac{32768}{1024}.

$$\frac{32768}{1024}$$

Divide 32768 by 1024 to get 32.

$$32$$

Factor

$$2^{5}$$