Question

Simplify this for me:

Answer 1

3¹²

Explanation:

This kinda Questions can be done using the Law of exponents as ,

• 
  `a^m / a^n = a^(m-n)`
• 
  `(a^n)^m = a^(mn)`

So using these properties we have ,

→ (3⁵)² / 3-²

→ 3¹⁰ / 3 -²

• Now we will use the first formula stated above . That will Result the exponent into , 10 - (-2) = 10 + 2 = 12 . Hence ,

→ 3¹²

• Hence the required answer is 3¹² .

Answer 2

3¹²

Explanation:

First lets simplify:

(3⁵)² would be 3¹⁰

and 3⁻² would stay the same:

Now;

`(3^(10) )/(3^(-2) )`

Now keep the base same and subtract exponents:

10 - (-2) = 12

=> Therefore the answer would be 3¹²

Hope this helps!