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.
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