Algebra 1 help plz

Question

The length of a rectangle is 21³ m⁵  and its width is 81⁷ m⁴. What is an expression for the area of the rectangle?

Answer 1

The unit for area are (meters)².  We must rewrite the dimensions of length and width in terms of m,

since length (m)  ×  width (m)  =  area( m²).  We will take the 5th root of the length and the 4th root of the width because the 5th root of m⁵ is m, and the 4th root of m⁴ is m.

 

 

Area = length × width

 

Area = (21³ m⁵)^1/5  ×  (81⁷ m⁴)^1/4 

 

Area = ⁵√(21³ m⁵)   ×  ⁴√(81⁷ m⁴)