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.`