jfulps5170 jfulps5170
  • 10-01-2019
  • Mathematics
contestada

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

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

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 19-01-2019
ANSWER

The correct answer is

[tex] \sqrt[5]{9 {m}^{2}} [/tex]



EXPLANATION

The given expression is

[tex] {(3m)}^{ \frac{2}{5} } [/tex]


We can rewrite the exponent as


[tex] {(3m)}^{ \frac{1}{5} \times 2 } [/tex]


Or


[tex] ({(3m)}^{ 2 } )^{ \frac{1}{5} } [/tex]

We evaluate the inner expression to obtain,


[tex] (9 {m}^{2} )^{ \frac{1}{5} } [/tex]


We then rewrite as,


[tex] \sqrt[5]{9 {m}^{2}} [/tex]

Answer Link

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