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Simplify (8a^3b^2/16a^2b^3)^4

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First, we can simplify the expression inside the parentheses by dividing both the numerator and the denominator by their greatest common factor, which is 8a^2b^2:

(8a^3b^2/16a^2b^3) = (a/2b)

Now, we can substitute this expression back into the original expression and simplify:

(8a^3b^2/16a^2b^3)^4 = [(a/2b)^4] ^4

= (a^4/16b^4) ^4

= a^16/16^4b^16

= a^16/65536b^16

Therefore, the simplified expression is a^16/65536b^16.

User SevenDays
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