# Simplify (3yz^-2)^-4

(3yz-2)-4
Rewrite the expression using the negative exponent rule b-n=1bn.
(3y1z2)-4
Multiply 3y1z2.
Combine 3 and 1z2.
(y3z2)-4
Combine y and 3z2.
(y⋅3z2)-4
(y⋅3z2)-4
Move 3 to the left of y.
(3⋅yz2)-4
Change the sign of the exponent by rewriting the base as its reciprocal.
(z23y)4
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to z23y.
(z2)4(3y)4
Apply the product rule to 3y.
(z2)434y4
(z2)434y4
Multiply the exponents in (z2)4.
Apply the power rule and multiply exponents, (am)n=amn.
z2⋅434y4
Multiply 2 by 4.
z834y4
z834y4
Raise 3 to the power of 4.
z881y4
Simplify (3yz^-2)^-4

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