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Simplify. (i) (25 xx t^(-4))/(5^3 xx 1...

Simplify.
(i) `(25 xx t^(-4))/(5^3 xx 10 xx t^(-8)) (t != 0)`
(ii) `(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`

A

`(i) = (625t^4)/2` `" "` `(ii) = 3125`

B

`(i) = (600t^4)/2` `" "` `(ii) = 3785`

C

`(i) = (705t^4)/2` `" "` `(ii) = 3075`

D

`(i) = (695t^4)/2` `" "` `(ii) = 5625`

Text Solution

Verified by Experts

The correct Answer is:
A
(i) `(25 * t^-4)/(5^-3*10*t^-8)`
` = 5^(2+3)/(t^(4-8)*10)`
`= (625t^4)/2`
(ii) `(3^-5 * 10^-5* 5^3)/(5^-7 * 6^-5)`
`= 3^-5*10^-5*5^10*6^5`
`= (5^10*6^5)/(3^5*10^5)`
`= 5^5`
`= 3125`
...
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