# Simplify (4a^3bc^-6)^-3

(4a3bc-6)-3
Rewrite the expression using the negative exponent rule b-n=1bn.
(4a3b1c6)-3
Multiply 4a3b1c6.
Combine 4 and 1c6.
(a3b4c6)-3
Combine a3 and 4c6.
(ba3⋅4c6)-3
Combine b and a3⋅4c6.
(b(a3⋅4)c6)-3
(b(a3⋅4)c6)-3
Move 4 to the left of ba3.
(4⋅(ba3)c6)-3
Change the sign of the exponent by rewriting the base as its reciprocal.
(c64ba3)3
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to c64ba3.
(c6)3(4ba3)3
Apply the product rule to 4ba3.
(c6)3(4b)3(a3)3
Apply the product rule to 4b.
(c6)343b3(a3)3
(c6)343b3(a3)3
Multiply the exponents in (c6)3.
Apply the power rule and multiply exponents, (am)n=amn.
c6⋅343b3(a3)3
Multiply 6 by 3.
c1843b3(a3)3
c1843b3(a3)3
Simplify the denominator.
Raise 4 to the power of 3.
c1864b3(a3)3
Multiply the exponents in (a3)3.
Apply the power rule and multiply exponents, (am)n=amn.
c1864b3a3⋅3
Multiply 3 by 3.
c1864b3a9
c1864b3a9
c1864b3a9
Simplify (4a^3bc^-6)^-3

### Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top