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Question
`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^-`
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Solution
`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^bb(underline(0)`
Explanation:
Here, `(6/10)^10 ÷ [(6/13)^5]^2 = (6/13)^10 ÷ (6/13)^(5 xx 2)` ...[∵ (am)n = amn]
= `(6/13)^10 ÷ (6/13)^10` ...[∵ am ÷ an = am – n, (m > n)]
= `(6/13)^(10 - 10)`
= `(6/13)^0`
∴ `(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^0`
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