Compare Powers: Evaluating 16^8 vs 16^(2+6)

Question

Which is larger?

168 ——16(2+6) 16^8\text{ }_{——}16^{(2+6)}

Video Solution

Step-by-Step Solution

The problem involves comparing 168 16^8 and 16(2+6) 16^{(2+6)} .

First, simplify the exponent in the second expression:

  • 16(2+6)=168 16^{(2+6)} = 16^8

This simplifies directly to 168 16^8 , which is identical to the first expression, 168 16^8 .

Since both expressions are equal after simplification, we conclude that:

The two expressions are equal, therefore = = .

Answer

= =