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`6)`

`d)10^20=(10^2)^10=100^10`

`100^10>90^10`

`=>10^20<90^10`

`e)(25/4)^18=(5/2)^36`

`(64/27)^12=(4/3)^36`

`(5/2)^36>(4/3)^36`

`=>(25/4)^18>(64/27)^12`

`f)(0,3)^20=(0,09)^10`

`(0,1)^10>(00,3)^10`

`=>(0,1)^10>(0,3)^20`

`7)`

`a)2^27=8^9`

`3^18=9^9`

`8^9<9^9`

`=>2^27<3^18`

`b)2^91=(2^13)^7=8192^7`

`5^35=(5^5)^7=3125^7`

`8192^7>3125^7`

`=>2^91>5^35`