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Simplify: (i) ((2^5)2 xx 7^3)/(8^3 xx 7)...

Simplify: (i) `((2^5)2 xx 7^3)/(8^3 xx 7)` (ii) `(25 xx 5^2 xx t^8)/(10^3 xx t^4)`

Text Solution

Verified by Experts

(i)`((2^5)^2 * 7^3)/(8^3*7)`
`= (2^(5*2)*7^3)/((2^3)^3*7)`
`= (2^10*7^3)/(2^9*7)`
`= 2*7^2 = 98`
(ii) `(25*5^2*t^8)/(10^3*t^4)`
`= (5^2*5^2*t^8)/(2^3*5^3*t^4)`
`= (5^(4-3)*t^(8-4))/2^3`
`= (5t^4)/8`
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