Question

Laws of indices

Answer 1

Answer on Question #81722 – Math – Algebra

Question

Laws of indices

Solution

1. **st Law**: $a^n * a^m = a^{n+m}$.

2. **nd Law**: $\frac{a^n}{a^m} = a^{n-m}$.

3. **rd Law**: $(a^m)^n = a^{mn}$.

4. **th Law**: $a^0 = 1$, ($a \neq 0$).

5. **th Law**: $a^{-m} = \frac{1}{a^m}$.

6. **th Law**: $a^{\frac{n}{m}} = \sqrt[m]{a^n}$.

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