SOLUTION: 8th root of (25a^2b^6) Use rational exponents to simplify expression. Answer in simplified radical form.

Question 389984: 8th root of (25a^2b^6) Use rational exponents to simplify expression. Answer in simplified radical form.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

There are no factors of that are powers of 8 so we cannot simplify this as it stands. Using a rational exponent for the 8th root we have:

Since is a perfect square we can rewrite it as: :

The rule for exponents when raising a power to a power is to multiply the exponents:

which simplifies to:

We have simplified the expression as far as it can be simplified. Since we want the answer to be in radical form we rewrite an exponent as 1/4 as a 4th root:

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