Rules of Exponents Word Problem

Question

Question: The area of a rectangle is 286a⁵b⁷ square units. If the width of the rectangle is 11a²b⁴ units, what is the length in units?

 

If someone could explain what to do step-by-step, I would greatly appreciate it.

Answer 1

Area of a rectangle=Length* Width

 

286 a⁵ b⁷ =length * 11a² b⁴  

 

Length= 286 a⁵ b⁷ / 11a² b⁴ 

          

          =26( a⁵ /a²) * (b⁷/b⁴)

now using exponent rule, a^m /aⁿ= a^m-n

 

           =26 a^5-2 * b^7-4

           = 26 a³ b³ units