Power of 0

Anything raised to the power of zero is 1:

a^0=1

Example: evaluate 4^0

• 1

Example: evaluate 100^0

• 1

Example: evaluate x^0

• 1

Example: solve for n: 5^n=1

• Anything to the power of 0 is 1…
• so n=0

Example: solve for m: b^m=1

• Anything to the power of 0 is 1…
• so m=0

Example: find the possible values for n and state when they apply: k^n=1

• If k=1, then n can be any real number.
• If k\ne1, then n=0