Math help please with Algebra ? i keep getting it wrong?

2016-05-31 10:55 am

write sqrt16 *2^1/4 as a single power of 2.

回答 (3)

2016-05-31 11:26 am

✔ 最佳答案

√16 * 2^(1/4) =
4 * 2^(1/4) =
2^2 * 2^(1/4) =
2^(2 1/4) = 2^(9/4)

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2016-05-31 10:58 am

Square root of 16 is 4, which is 2^2. So, 2^2 * 2^1/4 is merely 2^(2+1/4). Taking from there should be relatively easy.

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2016-05-31 11:04 am

2^a * 2^b = 2^(a + b)

sqrt(16) = 2^4
[sqrt(16)] * 2^1/4 = 2^(4 + 1/4) = 2^(17/4)

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