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

Otras preguntas

Which line from the poem best illustrates alliteration? “Silver” by Walter de la Mare?
Which document begins with the words "We the people of the United States"?
Where did most immigrants choose to live when they entered the united states in the late 1800s?
Williams salary is £24000 his salary increases by 4% work out Williams new salary
Which explains why African slavery was introduced to the Americas? A. A potato famine in Africa forced millions of starving Africans into slavery. B. The Span
As inflation increased and the Roman Empire experienced greater political instability, what occurred?
Which adjective best describes English rule over the American colonies in general?
What is 1.64 million rounded to the nearest million
What are the constitutional restrictions on the power of the staes to set voting qualifications?
What problem did socialist thinkers seek to solve?
good job