Question

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

Answer 1

`((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)))`

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

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