Letters or numbers to the power of zero

curriculum-key-fact
Any letter or number to the power of zero is equal to 1.

This can be seen in the example of j^2 \div j^2.

Subtract the powers, so j^2 \div j^2 = j^{2 - 2} = j^0.

Any number or letter divided by itself is 1.

This gives j^2 \div j^2 = j^0 (using index laws for division) and j^2 \div j^2 = 1, which means j^0 = 1.

Laws of indices - summary

  • a^m \times a^n = a^{m + n}
  • a^m \div a^n = a^{m - n}
  • (a^m)^n = a^{mn}
  • a^0 = 1