Question
If (√1024)3=8x, then x is ________.
Answer: Option A
:
A
Given:
(√1024)3=8x
⇒(√(210))3=8x.
⇒(√((25)2))3=8x. {as(am)n=amn}
⇒(25)3=(23)x
⇒(23)5=(23)x
⇒(8)5= (8)x
We know that, if an= am then, n=m.
Hence,
⇒x=5
Was this answer helpful ?
:
A
Given:
(√1024)3=8x
⇒(√(210))3=8x.
⇒(√((25)2))3=8x. {as(am)n=amn}
⇒(25)3=(23)x
⇒(23)5=(23)x
⇒(8)5= (8)x
We know that, if an= am then, n=m.
Hence,
⇒x=5
Was this answer helpful ?
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