Question

How would you simplify (49/27)^(3/2)?
Explain please, thanks!

Answer 1

NOTE :
49=7^2
27= 3*9 = 3*3^2
ok?

Answer 2

.. what? /:

Answer 3

Please read before asking "... what? /:"

Answer 4

I did.

Answer 5

Where do you don't understand?

Answer 6

ok, actually 49 is 7*7
so i can write 49 as \(7^2\)
this makes sense?

Answer 7

Yees.

Answer 8

similarly, 27 = 3*9 and 9=3*3
so i wrote 9 as \(3^2\)
and 27 = 3*\(3^2\)
ok?

Answer 9

Mhm o:

Answer 10

is that a YES ?

Answer 11

yes.

Answer 12

ok, so now i write 49/27 = 7^2 / (3*3^2)
and (49/27)^(3/2) = (7^2/(3*3^2))^(3/2)

Answer 13

Okay.

Answer 14

understood this next step ?
i just took 2 inside.
using
\((a^n)^{1/2}=a^{(n/2)}\)