Question

Simplify. 32·35·3-3 A) 3-4 B) 34 C) 3-10 D) 310

Answer 1

$3^{2}\cdot 3^{5}\cdot 3^{-3}=3^{(2+5-3)}\\\\=3^{4}$

The appropriate selection is ...
  B) 3⁴

Answer 2

The given expression is :

$3^{2}.3^{5}.3^{-3}.$

The power denotes the number of time the number is multiplied.When bases are same exponents are added.

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

The bases in the given question is the same .3 is the base here so exponents can be added.

$3^{2}.3^{5}.3^{-3}=3^{2+5-3}=3^{4}.$

Option B is the right answer.