Mathematics for IGCSE & O level - Indices 2 (Section 3 - No. 37)
Which of the following are true? (Select all that apply)
(a^m imes a^n = a^{m+n})
(a^m / a^n = a^{m-n})
((a^m)^n = a^{m+n})
(a^0 = 1)
Explication
The correct rules of indices are the product rule (add exponents when multiplying), the quotient rule (subtract exponents when dividing), and the definition of the zero exponent. The power of a power rule states that ((a^m)^n = a^{m*n}).