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?

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