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ExpertsGlobal5
If (10 – 6a)^5 = –1, a = ?

A. –3 / 2
B. –11 / 6
C. 3 / 2
D. 5 / 3
E. 11 / 6
The fifth-root of -1 is -1 i.e. (-1)^(1/5) = -1

Thus: (10 – 6a)^5 = –1

=> (10 – 6a) = (–1)^(1/5)

=> (10 – 6a) = –1

=> 6a = 10+1

=> a = 11/6

Answer E
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Eq.: (10-6a)^5= -1

Taking -ve common we get,
(6a-10)^5=1
=> 6a=11
=> a=11/6

Therefore option E
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ExpertsGlobal5
If (10 – 6a)^5 = –1, a = ?

A. –3 / 2
B. –11 / 6
C. 3 / 2
D. 5 / 3
E. 11 / 6

Video explanation:

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