(2nw26n3w5)2

Factor 2 out of 2nw2.

(2(nw2)6n3w5)2

Cancel the common factors.

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

Factor n out of nw2.

(n(w2)3n3w5)2

Cancel the common factors.

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

Multiply by 1.

(w2⋅13n2w5)2

Cancel the common factors.

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

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

Raise 3 to the power of 2.

19(n2)2(w3)2

Multiply the exponents in (n2)2.

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.

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