Question

3:

Which of these expressions are equivalent to p3?

A) p−2/3p

B) 1/3p

C) p−3

D) 3÷p

E) 3p/9

F) 1/3p+1/3p+1/3p

Answer 1

The options A),B) and E) are correct

A) The given expression
`p-(2)/(3)p` is equivalent to
`(p)/(3)`

B) The given expression
`(p)/(3)` is equivalent to
`(p)/(3)`

E) The given expression
`(3p)/(9)` is equivalent to
`(p)/(3)`

Explanation:

Given expression is
`(p)/(3)`

To find the equivalent expressions to the given expression :

A)
`p-(2)/(3)p`

Solving the expression
`p-(2)/(3)p`

`p-(2)/(3)p=(p(3)-2p)/(3)`

`=(3p-2p)/(3)`

`=(p)/(3)`

∴
`p-(2)/(3)p=(p)/(3)`

∴ The given expression
`p-(2)/(3)p` is equivalent to
`(p)/(3)`

B)
`(p)/(3)`

∴ The given expression
`(p)/(3)` is equivalent to
`(p)/(3)`

E)
`(3p)/(9)`

Solving it we get

∴
`(3p)/(9)=(p)/(3)`

∴ The given expression
`(3p)/(9)` is equivalent to
`(p)/(3)`

∴ options A),B) and E) are correct