Which expression is the simplest form of

Algebra
Tutor: None Selected Time limit: 1 Day

May 19th, 2015

Hello!

=(8x^-6)^(1/3)

First distribute the exponent (1/3) to both inner terms.  Keep in mind that the exponents are multiplied by each other.  For example: (x^a)^b = x^(a*b)....an exponent rule

=8^(1/3) * x^{-6*(1/3)}

Cubed root of 8 is 2.  (2^3=8).  (-6*1)/3=-2

=2*x^-2

A negative exponent can be expressed as a positive exponent in the denominator:

=2/x^2

2/(x^2)

Answer is D.

Let me know if you have any questions :).  Please give me a rating :)

May 19th, 2015

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