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im kinda confused, i have to convert an exponent to exponential form if its in radical form or radical form if its it exponetion, the problem is: 16^(5/4) =32

ps im sorry about the wierd symbols, i dont know how to make it look nice like it does in my math book

2007-09-13 12:08:53 · 2 answers · asked by chuckt 3 in Science & Mathematics Mathematics

2 answers

What weird symbols?

Anyway, this one's just using the definition of exponentiation for rational exponents: a^(p/q) = (root (a, p))^q, where root (a, p) is the pth root of a. So for this problem, 16^(5/4) = (∜16)⁵.

2007-09-13 12:30:09 · answer #1 · answered by Pascal 7 · 1 0

16^(5/4) means ∜(16⁵) or equivalently (∜16)⁵

You can see that the second one is much easier to solve.
The fourth root of 16 is 2. And 2 to the fifth power is 32.

Off the top of my head I do not know what 16 to the fifth power is, so I would have to grab a calculator.

2007-09-13 12:29:26 · answer #2 · answered by MsMath 7 · 0 0

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