Which expression has a larger value?

Question

Evaluate (2³)² and ₂(3²). Are the results the same? if not, which expression has the larger value?

Answer 1

When you raise a power to a power, you can multiply the powers together. (2³)² = (2)^2*3 = 2⁶.

We can compute 3² = 9. So the second number is 2⁹.

2⁶ < 2⁹ so 2⁹ is bigger.