# Simplify (4a^-1b^5c^-3)^3

(4a-1b5c-3)3
Rewrite the expression using the negative exponent rule b-n=1bn.
(41ab5c-3)3
Combine 4 and 1a.
(4ab5c-3)3
Combine 4a and b5.
(4b5ac-3)3
Rewrite the expression using the negative exponent rule b-n=1bn.
(4b5a⋅1c3)3
Multiply 4b5a and 1c3.
(4b5ac3)3
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 4b5ac3.
(4b5)3(ac3)3
Apply the product rule to 4b5.
43(b5)3(ac3)3
Apply the product rule to ac3.
43(b5)3a3(c3)3
43(b5)3a3(c3)3
Simplify the numerator.
Raise 4 to the power of 3.
64(b5)3a3(c3)3
Multiply the exponents in (b5)3.
Apply the power rule and multiply exponents, (am)n=amn.
64b5⋅3a3(c3)3
Multiply 5 by 3.
64b15a3(c3)3
64b15a3(c3)3
64b15a3(c3)3
Multiply the exponents in (c3)3.
Apply the power rule and multiply exponents, (am)n=amn.
64b15a3c3⋅3
Multiply 3 by 3.
64b15a3c9
64b15a3c9
Simplify (4a^-1b^5c^-3)^3

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