Question

What is the simplified from of 72x^16/50x36 assume x =/=0

Answer 1

6/5x^10 because after you get the answer 36/25x^10 you get the square root which is also half 

Answer 2

remember:

`√(x)=x^(1)/(2)`

`\sqrt{(a)/(b)}=(√(a))/(√(b))`
`√(ab)=(√(a))(√(b))`
`(a^b)^c=a^(bc)`
`(x^m)/(x^n)=x^(m-n)`
`x^(-m)=(1)/(x^m)`(ab)/(cd)=(a/c)(b/d)

also remember PEMDAS
so


`\sqrt{(72x^(16))/(50x^(36))}`
simplify inside sqrt first

`(72x^(16))/(50x^(26))=`
`((72)/(50))((x^(16))/(x^(36))=`
`((36)/(25))(x^(16-36))=`

`((36)/(25))(x^(-20))=`

now
`\sqrt{((36)/(25))(x^(-20))}=`
`(\sqrt{(36)/(25)})(\sqrt{x^(-20)}=`
`((√(36))/(√(25)))((x^(-20))^(1)/(2))=`
`((6)/(5))(x^(-10))=`
`((6)/(5))((1)/(x^(10)))=`
`(6)/(5x^(10))` answer is first option