How do you simplify ((3mp^3)/(7q^2))^2?

1 Answer
Nov 15, 2017

((3mp^3)/(7q^2))^2=((9m^2p^6)/(14q^4))

Explanation:

((3mp^3)/(7q^2))^2=((3mp^3)/(7q^2))*((3mp^3)/(7q^2))=
=> ((3^2m^2(p^3)^2)/((7)^2(q^2)^2))
=> (((3*3)(m*m)(p^3*p^3))/((7*7)(q^2*q^2)))


Power's laws:
(x^a)^b=x^(a*b)
(x^a)(x^b)=x^(a+b)


=> (((9)(m^2)(p^(3+3)))/((14)(q^(2+2))))
=> (((9)(m^2)(p^(6)))/((14)(q^(4))))