Simplify ((9a^7b^8c^3)/(3a^4b^2c))^2

Math
(9a7b8c33a4b2c)2
Cancel the common factor of 9 and 3.
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Factor 3 out of 9a7b8c3.
(3(3a7b8c3)3a4b2c)2
Cancel the common factors.
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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.
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Factor a4 out of 3a7b8c3.
(a4(3a3b8c3)a4b2c)2
Cancel the common factors.
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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.
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Factor b2 out of 3a3b8c3.
(b2(3a3b6c3)b2c)2
Cancel the common factors.
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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.
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Factor c out of 3a3b6c3.
(c(3a3b6c2)c)2
Cancel the common factors.
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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.
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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.
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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.
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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.
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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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