98 points! easy! show work! part 2!

Hey there :)

14) The perimeter of this square is given as 28a²b⁴ 
The perimeter formula of a square is P = 4 x side
28a²b⁴ = 4s

7a²b⁴ = s

Area formula of a square is:
A = side²
   = ( 7a²b⁴)²
   = 49a⁴b⁸

15) 
Let's deal with it one by one and combine at the end

Numerator = ( r²st³ )( 20r⁻³s⁻¹t⁻⁴ )
The product of power rule applies here
                   = ( 20r⁻¹t⁻¹ ) → { r²⁺⁽⁻³⁾s¹⁻¹t³⁺⁽⁻⁴⁾ }
 
Denominator = ( -4r⁻²t )³
The power of a product rule applies here
                       = ( -64r⁻⁶t³ ) → ((-4)³(r⁻²ˣ³)(t)³)

Combine = 
Quotient of powers rule apply here 

Lets separate again: , 

Final = 

16) 
The power inside the root will be the numerator and root number will be the denominator 



17) × 

The numerator will be the power inside and the denominator will be the root number