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प्रश्न
Simplify and express the following in exponential form:
`[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
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उत्तर
We have, `[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
= `(3/7)^(4 + 5) ÷ (3/7)^7` ...[∵ am × an = am + n]
= `(3/7)^9 ÷ (3/7)^7`
= `(3/7)^9/(3/7)^7` = `(3/7)^(9 - 7)` ...`[∵ a^m/a^n = a^(m-n)]`
= `(3/7)^2`
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