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Identify the greater number, wherever possible, in each of the following ? (i) `4^3 or 3^4` (ii) `5^3 or 3^5` (iii) `2^8 or 8^2` (iv) `100^2 or 2^100` |
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Answer» (i) `4^3 or 3^4` `4^3 = 4*4*4 = 64` `3^4 = 3*3*3*3 = 81` `:. 3^4> 4^3` (ii) `5^3 or 3^5` `5^3= 125` `3^5= 243` `:. 3^5> 5^3` (iii) `2^8 or 8^2` `2^8 = (2*2*2*2)^2 = 16^2= 96` `8^2 = 64` `:. 2^8 > 8^2` (iv)`100^2 or 2^100` `100^2 = 10000` `2^100= (2^10)^10 = 1024^10` `:. 2^100 > 100^2` answers |
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