# Simplify (-3s^2t^4u^3)^2

(-3s2t4u3)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -3s2t4u3.
(-3s2t4)2(u3)2
Apply the product rule to -3s2t4.
(-3s2)2(t4)2(u3)2
Apply the product rule to -3s2.
(-3)2(s2)2(t4)2(u3)2
(-3)2(s2)2(t4)2(u3)2
Raise -3 to the power of 2.
9(s2)2(t4)2(u3)2
Multiply the exponents in (s2)2.
Apply the power rule and multiply exponents, (am)n=amn.
9s2⋅2(t4)2(u3)2
Multiply 2 by 2.
9s4(t4)2(u3)2
9s4(t4)2(u3)2
Multiply the exponents in (t4)2.
Apply the power rule and multiply exponents, (am)n=amn.
9s4t4⋅2(u3)2
Multiply 4 by 2.
9s4t8(u3)2
9s4t8(u3)2
Multiply the exponents in (u3)2.
Apply the power rule and multiply exponents, (am)n=amn.
9s4t8u3⋅2
Multiply 3 by 2.
9s4t8u6
9s4t8u6
Simplify (-3s^2t^4u^3)^2

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