Question

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

Answer 1

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.

Answer 2

`3^(2)\cdot 3^(5)\cdot 3^(-3)=3^((2+5-3))\\\\=3^(4)`

The appropriate selection is ...
B) 3⁴