Question

what is Simplify:(3⁸÷3³)×3² ​

Answer 1

Answer:

3

2

×3

4

×3

8

=3

2+4+8

using a

m

×a

n

=a

m+n

=3

14

Answer 2

$\sf{(3^8÷3^3)×3^2}$

⇒ $\sf{(3^{8-3})×3^2}$

⇒ $\sf{3^{5}×3^2}$

⇒ $\sf{3^{5+2}}$

⇒ $\sf{3^7}$

⇒ $\sf{2187}$

Identities

$\sf{a^m ÷ a^n = a^{m-n}}$

$\sf{a^m × a^n = a^{m+n}}$