Solve (2^xdiv2^x)^3*2

$$( 2 ^ { x } \div 2 ^ { x } ) ^ { 3 } \times 2$$

Evaluate

$$2$$

Solution Steps

To raise \frac{2^{x}}{2^{x}} to a power, raise both numerator and denominator to the power and then divide.

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

Express \frac{\left(2^{x}\right)^{3}}{\left(2^{x}\right)^{3}}\times 2 as a single fraction.

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

Cancel out \left(2^{x}\right)^{3} in both numerator and denominator.

$$2$$

Factor

$$2$$