Solve 2^2*2sqrt2^2div3

$$2 ^ { 2 } \times 2 \sqrt { 2 } ^ { 2 } \div 3$$

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

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

$$\frac{2^{3}\left(\sqrt{2}\right)^{2}}{3}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{8\left(\sqrt{2}\right)^{2}}{3}$$

The square of \sqrt{2} is 2.

$$\frac{8\times 2}{3}$$

Multiply 8 and 2 to get 16.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$