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Question
Simplify:
`(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`
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Solution
Given, `(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`
= `1/(5)^45 xx 1/(5)^-60 - 1/(5)^28 xx 1/(5)^-43` ...[∵ am × an = (a)m + n]
= `1/(5)^(45 - 60) - 1/(5)^(28 - 43)`
= `1/(5)^-15 - 1/(5)^-15` ...`[∵ a^-m = 1/a^m]`
= `(5)^15 - (5)^15`
= 0
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