Laws of indices - AQALetters or numbers to the power of zero

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

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

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

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