Question

simplify this for me:

Answer 1

Answer:

3¹²

Step-by-step explanation:

First lets simplify:

(3⁵)² would be 3¹⁰

and 3⁻² would stay the same:

Now;

$\frac{3^{10} }{3^{-2} }$

Now keep the base same and subtract exponents:

10 - (-2) = 12

=> Therefore the answer would be 3¹²

Hope this helps!

Answer 2

Answer:

3¹²

Step-by-step explanation:

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

• $a^m \div a^n = a^{m-n}$
• $(a^n)^m = a^{mn}$

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 .