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Multiple Choice Questions

64 ndash 1 2 ndash 32 ndash 4 5 ........

Quantitative Aptitude (RRB NTPC) Algebra

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(64)^–1/2 – (32)^–4/5 = ?

1/8

3/8

1/16

3/16

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Explanation:

From the given equation :
(64)^–1/2 − (32)^–4/5
⇒ (8²)^–1/2 − {(2)⁵}^–4/5.
⇒ 8² ^{x (−1/2)} −(2)^{5 x (−4)/5}
⇒ 8⁻¹ − (2)⁻⁴
⇒ 1/8 - 1/(2)⁴
⇒ (1/8 - 1/16)
⇒ 1/16

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