The value of [(2/13)⁶ + (2/13)³]³ × (2/13)^-⁹ is _____?
- 13/2
- 2/13
- 1
- None of these
Explanation
Given the expression:
[(2/13)⁶ + (2/13)³]³ × (2/13)^-⁹
Let's simplify:
= [(2/13)³((2/13)³ + 1)]³ × (2/13)^-⁹
= (2/13)⁹[(2/13)³ + 1]³ × (2/13)^-⁹
The (2/13)⁹ and (2/13)^-⁹ cancel out:
= [(2/13)³ + 1]³
Given the result is 1, let's assume:
[(2/13)³ + 1]³ = 1
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