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Byju's Answer
Standard VIII
Mathematics
Powers with Negative Exponents
If 42 x -1-16...
Question
If
(
4
)
2
x
−
1
−
(
16
)
x
−
1
=
384
,then find the value of x.
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Solution
4
(
2
x
−
1
)
−
16
(
x
−
1
)
=
384
4
2
x
4
−
16
x
16
=
384
4
(
4
2
x
)
−
16
x
16
=
384
16
x
(
4
−
1
)
16
=
384
⇒
16
x
=
384
×
16
3
=
2
7
×
3
×
2
4
3
⇒
2
4
x
=
2
1
1
⇒
4
x
=
11
⇒
x
=
11
4
=
2.75
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345
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∣
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Q.
If
⎛
⎜
⎝
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