Question

evaluate the expression \\(\frac{1}{4}(2)^x\\) for \\(x = 5\\).

Explanation:

Step1: Substitute \( x = 5 \) into the expression

Substitute \( x = 5 \) into \( \frac{1}{4}(2)^x \), we get \( \frac{1}{4}(2)^5 \).

Step2: Calculate \( 2^5 \)

Calculate \( 2^5 \), we know that \( 2^5 = 2\times2\times2\times2\times2 = 32 \).

Step3: Multiply by \( \frac{1}{4} \)

Multiply \( 32 \) by \( \frac{1}{4} \), that is \( \frac{1}{4} \times 32 = 8 \).

Answer:

\( 8 \)