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Mathematics 14 Online
OpenStudy (ladiesman217):

somone help me please i give out fans and medals Part 1: Create your own term using a rational exponent. (1 point) Part 2: Convert it to a radical expression. (2 points) Part 3: Explain, in complete sentences, how the expression was converted. (3 points)

OpenStudy (nory):

Find a term with a rational exponent. Pick a rational number. What did you get?

OpenStudy (nory):

Sample rational numbers: 4/5, 1/2, 3/1, 457/196.

OpenStudy (nory):

Do you understand?

OpenStudy (nory):

Pick one of those and raise a variable to that power. Here's mine: \[x ^{4/5}\]

OpenStudy (nory):

Now you try.

OpenStudy (ladiesman217):

x^9/10

OpenStudy (nory):

Good. Now what you want to do is take the denominator of the fraction and take that root of your variable. And you take the numerator and raise the root to that power.

OpenStudy (ladiesman217):

x^10

OpenStudy (nory):

Confusing, I know. Here's mine:\[x ^{4/5} = (\sqrt[5]{x})^{4}\]

OpenStudy (nory):

No, the tenth root of x, to the power of nine.

OpenStudy (ladiesman217):

10√x^9

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