(2ab6a3b)-2

Factor a out of 2ab6.

(a(2b6)a3b)-2

Cancel the common factors.

Factor a out of a3b.

(a(2b6)a(a2b))-2

Cancel the common factor.

(a(2b6)a(a2b))-2

Rewrite the expression.

(2b6a2b)-2

(2b6a2b)-2

(2b6a2b)-2

Factor b out of 2b6.

(b(2b5)a2b)-2

Cancel the common factors.

Factor b out of a2b.

(b(2b5)ba2)-2

Cancel the common factor.

(b(2b5)ba2)-2

Rewrite the expression.

(2b5a2)-2

(2b5a2)-2

(2b5a2)-2

Change the sign of the exponent by rewriting the base as its reciprocal.

(a22b5)2

Apply the product rule to a22b5.

(a2)2(2b5)2

Apply the product rule to 2b5.

(a2)222(b5)2

(a2)222(b5)2

Apply the power rule and multiply exponents, (am)n=amn.

a2⋅222(b5)2

Multiply 2 by 2.

a422(b5)2

a422(b5)2

Raise 2 to the power of 2.

a44(b5)2

Multiply the exponents in (b5)2.

Apply the power rule and multiply exponents, (am)n=amn.

a44b5⋅2

Multiply 5 by 2.

a44b10

a44b10

a44b10

Simplify ((2ab^6)/(a^3b))^-2