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Write with rational exponents. (radicand xyz)^3.

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rosey-girl | Student, Grade 12 | (Level 1) Valedictorian

Posted February 7, 2013 at 4:36 AM via web

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Write with rational exponents.

(radicand xyz)^3.

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jgeertz | College Teacher | (Level 1) Associate Educator

Posted February 7, 2013 at 5:05 AM (Answer #1)

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Simplifying radical expressions often becomes easier once the expression is rewritten using rational exponents.

Remember rational exponents are fractional exponents and can be used as an optional way to write radical expressions.

`sqrt((xyz)^3)`

Change the root factor to its equivalent fractional exponent.

`((xyz)^(1/2))^3`

Raising an expression to an exponent is accomplished by multiplying the exponents together.

`(xyz)^(3/2)`  or `x^(3/2)y^(3/2)z^(3/2)`

 

`sqrt((xyz)^3)`  written with rational exponents is `(xyz)^(3/2)` .

 

 

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