Evaluate 4^8

Problem

4^8

Solution

1. Rewrite the base as a power of 2 to simplify the calculation.

4=2^2

2. Apply the power of a power rule, which states (a^m)^n=a^(m⋅n)

(2^2)^8=2^(2⋅8)

3. Multiply the exponents.

2^16

4. Calculate the value of 2^16 by repeated multiplication or by using known powers of 2 (e.g., 2^10=1024.

2^10⋅2^6=1024⋅64

5. Perform the final multiplication.

1024⋅64=65536

Final Answer

4^8=65536

Want more problems? Check here!