question_answer

      

Express:

(a) 729 as a power of 3

(b) 128 as a power of 2

(c) 343 as a power of 7.

Answer:

(a) We have \[729=3\times 3\times 3\times 3\times 3\times 3={{3}^{6}}\]                                                                                                                                               Here, base = 3 and exponent = 6, as 3 repeated 6 times. (b) We have, \[128\text{ }=2\times 2\times 2\times 2\times 2\times 2\times 2={{2}^{7}}\]                                                                                                                                               Here, base = 2 and exponent = 7, as 2 repeated 7 times. (c) We have, \[343=7\times 7\times 7={{7}^{3}}\]      Here, base = 7 and exponent = 3, since 7 repeated as 3 times.