Question

(3/5)⁴*(3/5)³*(3/5)⁸,Simplify it using laws of exponents.

Answer 1

We know mⁿ * mˣ = mⁿ⁺ˣ

So, (3/5)⁴ * (3/5)³ * (3/5)⁸

(3/5)⁴⁺³ * (3/5)⁸

(3/5)⁷ * (3/5)⁸

(3/5)⁷⁺⁸

(3/5)¹⁵

HENCE, (3/5)⁴ * (3/5)³ * (3/5)⁸ = (3/5)¹⁵

hope this help you......,

Answer 2

Hi ,

**********************************************
Multiplication Rule of Exponents :

a^m × a^n = a^m+n

***********************************************

It is given that ,

( 3/5 )⁴ × ( 3/5 )³ × ( 3/5 )^8

= ( 3/5 )^4 + 3 + 8

= ( 3/5 )^15

I hope this helps you.

: )