Simplify ((2nw^2)/(6n^3w^5))^2

Math
(2nw26n3w5)2
Cancel the common factor of 2 and 6.
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Factor 2 out of 2nw2.
(2(nw2)6n3w5)2
Cancel the common factors.
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Factor 2 out of 6n3w5.
(2(nw2)2(3n3w5))2
Cancel the common factor.
(2(nw2)2(3n3w5))2
Rewrite the expression.
(nw23n3w5)2
(nw23n3w5)2
(nw23n3w5)2
Cancel the common factor of n and n3.
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Factor n out of nw2.
(n(w2)3n3w5)2
Cancel the common factors.
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Factor n out of 3n3w5.
(n(w2)n(3n2w5))2
Cancel the common factor.
(nw2n(3n2w5))2
Rewrite the expression.
(w23n2w5)2
(w23n2w5)2
(w23n2w5)2
Cancel the common factor of w2 and w5.
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Multiply by 1.
(w2⋅13n2w5)2
Cancel the common factors.
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Factor w2 out of 3n2w5.
(w2⋅1w2(3n2w3))2
Cancel the common factor.
(w2⋅1w2(3n2w3))2
Rewrite the expression.
(13n2w3)2
(13n2w3)2
(13n2w3)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to 13n2w3.
12(3n2w3)2
Apply the product rule to 3n2w3.
12(3n2)2(w3)2
Apply the product rule to 3n2.
1232(n2)2(w3)2
1232(n2)2(w3)2
One to any power is one.
132(n2)2(w3)2
Simplify the denominator.
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Raise 3 to the power of 2.
19(n2)2(w3)2
Multiply the exponents in (n2)2.
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Apply the power rule and multiply exponents, (am)n=amn.
19n2⋅2(w3)2
Multiply 2 by 2.
19n4(w3)2
19n4(w3)2
Multiply the exponents in (w3)2.
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Apply the power rule and multiply exponents, (am)n=amn.
19n4w3⋅2
Multiply 3 by 2.
19n4w6
19n4w6
19n4w6
Simplify ((2nw^2)/(6n^3w^5))^2

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