# Simplify (st^-3*1/(s^-4))^2

(st-3⋅1s-4)2
Rewrite the expression using the negative exponent rule b-n=1bn.
(st-3⋅11s4)2
Rewrite the expression using the negative exponent rule b-n=1bn.
(s1t3⋅11s4)2
Combine s and 1t3.
(st3⋅11s4)2
Simplify.
Multiply the numerator by the reciprocal of the denominator.
(st3⋅(1s4))2
Multiply s4 by 1.
(st3⋅s4)2
(st3⋅s4)2
Multiply st3s4.
Combine st3 and s4.
(s⋅s4t3)2
Multiply s by s4 by adding the exponents.
Multiply s by s4.
Raise s to the power of 1.
(s1s4t3)2
Use the power rule aman=am+n to combine exponents.
(s1+4t3)2
(s1+4t3)2
(s5t3)2
(s5t3)2
(s5t3)2
Apply the product rule to s5t3.
(s5)2(t3)2
Multiply the exponents in (s5)2.
Apply the power rule and multiply exponents, (am)n=amn.
s5⋅2(t3)2
Multiply 5 by 2.
s10(t3)2
s10(t3)2
Multiply the exponents in (t3)2.
Apply the power rule and multiply exponents, (am)n=amn.
s10t3⋅2
Multiply 3 by 2.
s10t6
s10t6
Simplify (st^-3*1/(s^-4))^2

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