# Simplify (e^5y^3)^-3

(e5y3)-3
Rewrite the expression using the negative exponent rule b-n=1bn.
1(e5y3)3
Simplify the denominator.
Apply the product rule to e5y3.
1(e5)3(y3)3
Multiply the exponents in (e5)3.
Apply the power rule and multiply exponents, (am)n=amn.
1e5⋅3(y3)3
Multiply 5 by 3.
1e15(y3)3
1e15(y3)3
Multiply the exponents in (y3)3.
Apply the power rule and multiply exponents, (am)n=amn.
1e15y3⋅3
Multiply 3 by 3.
1e15y9
1e15y9
1e15y9
Simplify (e^5y^3)^-3

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