Question

Laws of exponents:

Answer 1

If a ≠ 0, b ≠ 0 be any real number and m, n be any rational numbers. Then, 

Law I : a^m × aⁿ = a^{m + n} 

Law II : (a^m)ⁿ = a^mn 

Law III : (ab)^m = a^m × b^m 

Law IV : \((\frac{a}{b})^m =\frac{a^m}{b^m}, (b≠0)\) 

Law V : \(\frac{a^m}{b^n} = a^{m-n}\) 

Law VI : \((\frac{a}{b})^{-m}=(\frac{b}{a})^m\) 

Law VII : a⁰ = 1 

Law VIII : a^–n = \(\frac{1}{a^n}; \,a^n=\frac{1}{a^{-n}}\)