SOLUTION: simplify the expression (4x^5)^3 ______ (8y^6)

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Question 185236: simplify the expression

(4x^5)^3
______
(8y^6)
Answer by feliz1965(151) About Me  (Show Source):
You can put this solution on YOUR website!
(4x^5)^3
______
(8y^6)

In the numerator, we apply the power rule for exponents.
The power rule: (x^a)^b = x^(ab)
Then (4x^5)^3 = 4x^(15)...This is our numerator now.
The denominator stays the same.
We now have [4x^(15)]/[(8y^6)] as the final answer.
There is nothing more that can be done to simplify this fraction.