Solve 2^3816/32*2^5*4

$$\frac { 2 ^ { 3 } 816 } { 32 \cdot 2 ^ { 5 } \cdot 4 }$$

Evaluate

$$\frac{51}{32}=1.59375$$

Solution Steps

Cancel out 16\times 2^{3} in both numerator and denominator.

$$\frac{51}{2\times 4\times 2^{2}}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{51}{2^{3}\times 4}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{51}{8\times 4}$$

Multiply 8 and 4 to get 32.

$$\frac{51}{32}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {5}} = 1\frac{19}{32} = 1.59375$$