Question

$\sqrt{2^n}$ =16 what is the value of n?

• A. 4
• B. 8
• C. 16
• D. 6

Answer 1

Answer:

B. 8

The value of n is 8.

• Step 1: Square both sides to remove the root:
  $2^n = 16^2$
  $2^n = 256$

• Step 2: Express 256 as a power of 2:
  $256 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^8$

• Step 3: Compare the powers:
  $n = 8$