Simplify (3yz^-2)^-4

Math
(3yz-2)-4
Rewrite the expression using the negative exponent rule b-n=1bn.
(3y1z2)-4
Multiply 3y1z2.
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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.
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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.
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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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