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{:("Column A",,,,"Column B"),(12. 100^(2...

`{:("Column A",,,,"Column B"),(12. 100^(2^(3^(0^(10)))),,,(a),0),(13. (12^(0)-11^0)(3^(1)-1^3),,,(b),12),(14.(128)^(5//7),,,(c),32),(28. "If "5^x=25^y=625."then `x^2-Y^2,,,(d),1),(,,,(e),100^2),(,,,(f),16):}`

Text Solution

Verified by Experts

`to (e):100^(2^(3^(0^(1^(0)))))=100^(2^(3^(0)))=100^(2^(1))=100^(2)`
`to(a):(12^0-11^0)(3^1=1^3)=(1-1)(3-1)=0xx2=0`
`to(c): (128)^((5//7))=(2^7)^((5//7))=2^5=32`
`to (b): 5x=25^y=625`
`5x=5^2y=5^4`
`rArr x=2y=4`
`rArr x=4 and y=2`
`therefore x^2-y^2=16 -4=12`
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