Question

what is the a^m×a^n =​

Answer 1

$\rm a^m\times a^n=a^{m+n}$

✷Few more laws of Indices:-

$\leadsto\rm a^0 = 1 \qquad ...[a\neq 0]$

$\leadsto\rm (a^m)^n = (a^n)^m= a^{mn}$

$\leadsto\rm \dfrac{a^m}{a^n}=a^{m-n}$

$\leadsto\rm a \times a^{-1} = a^{1-1} = a^0 = 1$

$\leadsto\rm a^m = \dfrac{1}{a^{-m}}$

$\leadsto\rm a^{-m} = \dfrac{1}{a^m}$

$\leadsto\rm \sqrt{a} = a^{\frac{1}{2}}$

$\leadsto\rm \sqrt[m]{a} = a^{\frac{1}{m}}$

$\leadsto\rm \sqrt[m]{a^n} = a^{\frac{n}{m}}$

Hope it helps.