14) The perimeter of this square is given as 28a²b⁴ The perimeter formula of a square is P = 4 x side 28a²b⁴ = 4s [tex] \frac{28a^2b^4}{4} = \frac{4s}{4} [/tex] 7a²b⁴ = s
Area formula of a square is: A = side² = ( 7a²b⁴)² = 49a⁴b⁸
15) [tex] \frac{(r^2st^3)(20r^-^3s^-^1t^-^4)}{(-4r^-^2t)^3} [/tex] 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 = [tex] \frac{20r^-^1t^-^1}{-64r^-^6t^3} [/tex] Quotient of powers rule apply here