Question

Choose the correct simplification of the expression a^2*a^3

Answer 1

`a^2\cdot a^3=a^(2+3)=a^5`

Why?

`a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^2\cdot a^3=\underbrace{(a\cdot a)}_(2)\cdot\underbrace{(a\cdot a\cdot a)}_(3)=\underbrace{a\cdot a\cdot a\cdot a\cdot a}_(2+3=5)`