# Simplify (3/(ab^8))^4

(3ab8)4
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 3ab8.
34(ab8)4
Apply the product rule to ab8.
34a4(b8)4
34a4(b8)4
Raise 3 to the power of 4.
81a4(b8)4
Multiply the exponents in (b8)4.
Apply the power rule and multiply exponents, (am)n=amn.
81a4b8⋅4
Multiply 8 by 4.
81a4b32
81a4b32
Simplify (3/(ab^8))^4

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