Algebra

Quantitative Aptitude ( CCS)

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(8)^0.75 × (4096)^0.25 ÷ (64)^–1 = (8)^?

2.25

3.0

3.25

3.75

Explanation:

Givan eqn,
(8)^0.75 × (4096)^0.25 ÷ (64)^–1 = (8)^?
⇒ (8)^0.75 × (8⁴)^1/4 × (8)² = (8)^?
⇒ (8)^{0.75 + 1 + 2} = (8)^?
⇒ (8)^3.75= (8)^?
⇒ ? = 3.75

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