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When writing 2–√5
2
5
as 2n
2
n
, which statement is true about the value of n
n
?

Responses

The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=21
(
2
1
/
5
)
5
=
2
1
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 1 , so 2 5 = 2 1 / 5 .

The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=20
(
2
1
/
5
)
5
=
2
0
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 0 , so 2 5 = 2 1 / 5 .

The value of n
n
is −5

5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=21
(
2

5
)
5
=
2
1
, so 2–√5=2−5
2
5
=
2

5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 1 , so 2 5 = 2 − − 5 .

The value of n
n
is −5

5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=20
(
2

5
)
5
=
2
0
, so 2–√5=2−5
2
5
=
2

5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 0 , so 2 5 = 2 − − 5 .


When Writing 25 2 5 As 2n 2 N Which Statement Is True About The Value Of N N Responses The Value Of N N Is 15 1 5 Because 25521 2 5 5 2 1 And 215521 2 1 5 5 2 1 class=

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