timarion4 timarion4
  • 09-05-2022
  • Mathematics
contestada

What is the value of the expression ? (243^2)^1/10

A.9

B.81

C.3

D.27

Respuesta :

loneguy
loneguy loneguy
  • 09-05-2022

[tex](243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}[/tex]

Answer Link

Otras preguntas

Help me for 6?????????
According to the line graph, from 2003-2007, the number of drug-induced deaths continued to rise at a faster rate than all others. The numbers for each year are
How does Shakespeare use the recurring theme of "fate vs. man" in Macbeth?
How would an historian best respond to the comment, "History is simply a series of events in chronological order."
Write the inverse function for the function, ƒ(x) = x + 4. Then, find the value of ƒ -1(4). Type your answers in the box. ƒ ^-1(x) =___ a0 x___a1___a2 ƒ -1(4) =
i'm not sure in how to do this!
Cultural diffusion was most advanced by necessary improvements in medical technology post-World War II occupation and education reform nation rebuilding an
1. How do your skeleton and muscular system work together, 2. What type of muscle tissue would you find in the heart? blood vessels? toes?
What are the two main forms of general-purpose local government in the United States?   A. Townships and municipalities B. Counties and municipalities C. School
In 2010 a new type of life form was found in California's Lake Mono. The microbe found has a variation in the structure of its DNA. DNA usually consists of nit