Question

evaluate the expression \\(\frac{4^x}{2^x}\\) for \\(x = 3\\).

Explanation:

Step1: Substitute \( x = 3 \) into the expression

Substitute \( x = 3 \) into \( \frac{4^x}{2^x} \), we get \( \frac{4^3}{2^3} \).

Step2: Calculate the numerator and the denominator

Calculate \( 4^3 = 4\times4\times4 = 64 \) and \( 2^3 = 2\times2\times2 = 8 \).

Step3: Divide the numerator by the denominator

Divide \( 64 \) by \( 8 \), \( \frac{64}{8} = 8 \).

Answer:

8