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

(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.
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.
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.
Raise 2 to the power of 2.
w84(y2)2
Multiply the exponents in (y2)2.
Apply the power rule and multiply exponents, (am)n=amn.
w84y2⋅2
Multiply 2 by 2.
w84y4
w84y4
w84y4
Simplify (2w^-4y^2)^-2

### Solving MATH problems

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

Scroll to top