# Simplify ((9a^7b^8c^3)/(3a^4b^2c))^2 (9a7b8c33a4b2c)2
Cancel the common factor of 9 and 3.
Factor 3 out of 9a7b8c3.
(3(3a7b8c3)3a4b2c)2
Cancel the common factors.
Factor 3 out of 3a4b2c.
(3(3a7b8c3)3(a4b2c))2
Cancel the common factor.
(3(3a7b8c3)3(a4b2c))2
Rewrite the expression.
(3a7b8c3a4b2c)2
(3a7b8c3a4b2c)2
(3a7b8c3a4b2c)2
Cancel the common factor of a7 and a4.
Factor a4 out of 3a7b8c3.
(a4(3a3b8c3)a4b2c)2
Cancel the common factors.
Factor a4 out of a4b2c.
(a4(3a3b8c3)a4(b2c))2
Cancel the common factor.
(a4(3a3b8c3)a4(b2c))2
Rewrite the expression.
(3a3b8c3b2c)2
(3a3b8c3b2c)2
(3a3b8c3b2c)2
Cancel the common factor of b8 and b2.
Factor b2 out of 3a3b8c3.
(b2(3a3b6c3)b2c)2
Cancel the common factors.
Factor b2 out of b2c.
(b2(3a3b6c3)b2(c))2
Cancel the common factor.
(b2(3a3b6c3)b2c)2
Rewrite the expression.
(3a3b6c3c)2
(3a3b6c3c)2
(3a3b6c3c)2
Cancel the common factor of c3 and c.
Factor c out of 3a3b6c3.
(c(3a3b6c2)c)2
Cancel the common factors.
Raise c to the power of 1.
(c(3a3b6c2)c1)2
Factor c out of c1.
(c(3a3b6c2)c⋅1)2
Cancel the common factor.
(c(3a3b6c2)c⋅1)2
Rewrite the expression.
(3a3b6c21)2
Divide 3a3b6c2 by 1.
(3a3b6c2)2
(3a3b6c2)2
(3a3b6c2)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 3a3b6c2.
(3a3b6)2(c2)2
Apply the product rule to 3a3b6.
(3a3)2(b6)2(c2)2
Apply the product rule to 3a3.
32(a3)2(b6)2(c2)2
32(a3)2(b6)2(c2)2
Raise 3 to the power of 2.
9(a3)2(b6)2(c2)2
Multiply the exponents in (a3)2.
Apply the power rule and multiply exponents, (am)n=amn.
9a3⋅2(b6)2(c2)2
Multiply 3 by 2.
9a6(b6)2(c2)2
9a6(b6)2(c2)2
Multiply the exponents in (b6)2.
Apply the power rule and multiply exponents, (am)n=amn.
9a6b6⋅2(c2)2
Multiply 6 by 2.
9a6b12(c2)2
9a6b12(c2)2
Multiply the exponents in (c2)2.
Apply the power rule and multiply exponents, (am)n=amn.
9a6b12c2⋅2
Multiply 2 by 2.
9a6b12c4
9a6b12c4
Simplify ((9a^7b^8c^3)/(3a^4b^2c))^2

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