Math CentralQuandaries & Queries


Question from Jennifer, a student:

what is the exponential for of
x radical y to the third power

Hi Jennifer,

I'm going to look at (x3√y)1/4.

To put this in exponential form I need to use two properties of exponents

(a × b)p = ap × bp and
(ap)q = ap×q

I also need to know that √a = a1/2.

Here we go

(x3√y)1/4 = (x3y1/2)1/4

Using the first property this can be written

(x3)1/4 × (y1/2)1/4

and the second property gives

x3×(1/4) × y(1/2)×(1/4) = x3/4 y1/8

Now try your problem,

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