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Simplify : (i) 2^(2/3). 2^(1/5) (ii) (1...

Simplify : (i) `2^(2/3). 2^(1/5)` (ii) `(1/(3^3))^7` (iii) `(11^(1/2))/(11^(1/4))` (iv) `7^(1/2). 8^(1/2)`

Text Solution

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(i) `2^(2/3).2^(1/5)`
As, `a^m.a^n = a^(m+n)`
`2^(2/3).2^(1/5)= 2^(2/3+1/5)=2^(13/15)`

(ii) `(1/3^3)^7`
As, `(a^m)^n)= a^(mn)`
`(1/3^3)^7 = 1/3^21 = 3^-21`

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