express the following as powers of rational numbers of the following:- - 343/512, 32/243,-1/216, 729/1000
Answers
Answered by
14
Here is your solution......
Attachments:
Answered by
13
Answer:
=
=
=
=
Step-by-step explanation:
=
On prime factorization,we get
343 = 7 x 7 x 7 , and 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
So, =
Similarly,
On prime factorization,we get
32 = 2 x 2 x 2 x 2 x 2, and 243 = 3 x 3 x 3 x 3 x 3
So, =
Now,
On prime factorization,we get
-1 = -1, and 216 = 2 x 2 x 2 x 3 x 3 x 3
So, =
Lastly,
On prime factorization,we get
729 = 3 x 3 x 3 x 3 x 3 x 3 , and 1000 = 2 x 2 x 2 x 5 x 5 x 5
So, =
Similar questions