Simplify (2w^-4y^2)^-2

Math
(2w-4y2)-2
Rewrite the expression using the negative exponent rule b-n=1bn.
(21w4y2)-2
Combine 2 and 1w4.
(2w4y2)-2
Combine 2w4 and y2.
(2y2w4)-2
Change the sign of the exponent by rewriting the base as its reciprocal.
(w42y2)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to w42y2.
(w4)2(2y2)2
Apply the product rule to 2y2.
(w4)222(y2)2
(w4)222(y2)2
Multiply the exponents in (w4)2.
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Apply the power rule and multiply exponents, (am)n=amn.
w4⋅222(y2)2
Multiply 4 by 2.
w822(y2)2
w822(y2)2
Simplify the denominator.
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Raise 2 to the power of 2.
w84(y2)2
Multiply the exponents in (y2)2.
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Apply the power rule and multiply exponents, (am)n=amn.
w84y2⋅2
Multiply 2 by 2.
w84y4
w84y4
w84y4
Simplify (2w^-4y^2)^-2

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