Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 29: Try these

Verify the following rule: Here $a, b$ are non-zero integers and $m, n$ are any integers.

Product of same powers to power of product rule: $a^m\times b^m={\left(ab\right)}^m$

Verify the following rule: Here $a, b$ are non-zero integers and $m, n$ are any integers.

Quotient of same powers to power of quotient rule. $\frac{a^m}{b^m}={\left(\frac{a}{b}\right)}^m$

Verify the following rule: Here $a$ is non-zero integer.

Zero exponent rule: $a^0=1$