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Question
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
Options
True
False
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Solution
This statement is False.
Explanation:
LHS = `(2/3)^-2 xx (2/3)^-5`
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
∴ `(2/3)^-2 xx (2/3)^-5 = (2/3)^(-2 - 5) = (2/3)^-7`
LHS ≠ RHS
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`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
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