Question

describe the rule for multiplying powers with the same base and give an example please

Answer 1

When multiplying powers with the same base you write the result as a base raised to the power that is the sum of previous two powers:

$a^m\cdot a^n=a^{m+n}.$

For example,

$2^5\cdot 2^7=2^{5+7}=2^{12};$

$3^5\cdot 3^4=3^{5+4}=3^9.$