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| Math Central | Quandaries & Queries |
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Question from Denise, a student: express 1,679,616 in exponential form as a power of 6. |
Hi Denise,
First make an intelligent guess.
62 = 36 which is almost 40 so (62)2 = 64 is almost 402 = 1600. Let's square again since I know that 162 = 256.
(64)2 = 68 is almost 16002 = 2,560,000
This is too large but then all our estimates were too large so 1,679,616 is probable 68 or maybe 67.
Now do the calculation exactly. Find 64 = (62)2 = 362 and square the result to get 68.
Penny
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