Question

Which expression is equal to (3m)^2/5

1. ^3√15m^5
2. ^5√9m^2
3. ^3√243m^5
4. ^5√6m^2

Answer 1

ANSWER

The correct answer is


`\sqrt[5]{9 {m}^(2)}`



Step-by-step explanation

The given expression is


`{(3m)}^{ (2)/(5) }`


We can rewrite the exponent as



`{(3m)}^{ (1)/(5) * 2 }`


Or



`({(3m)}^( 2 ) )^{ (1)/(5) }`

We evaluate the inner expression to obtain,



`(9 {m}^(2) )^{ (1)/(5) }`


We then rewrite as,



`\sqrt[5]{9 {m}^(2)}`