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Answer :
Final answer:
The exponential notations for the numbers 512, 343, 729, and 3125 are 2^9, 7^3, 9^3, and 5^5 respectively. This is calculated by identifying the base number that, when multiplied by itself a certain number of times, gives the original number.
Explanation:
To express each of the following numbers using exponential notation, we identify the base number that when multiplied by itself a certain number of times gives us the given number. In this case, the numbers 512, 343, 729, and 3125 can be expressed using exponential notation as follows:
(i) 512 can be expressed as 2^9 because 2 multiplied by itself 9 times gives us 512.
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