Simplify 1/( cube root of x^8)

Problem

1/√(3,x8)

Solution

1. Rewrite the radical expression using a fractional exponent. The rule for radicals is √(n,am)=am/n

√(3,x8)=x8/3

2. Substitute the exponential form back into the denominator of the original fraction.

1/(x8/3)

3. Apply the negative exponent rule 1/(an)=a(−n) to move the term to the numerator.

x(−8/3)

Final Answer

1/√(3,x8)=x(−8/3)

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