# Answer to Question #21001 in Algebra for Brittany Cornwell

Question #21001

simplify: (5^4/5 * 5^4/5)^-10

Expert's answer

simplify: (5^4/5 *5^4/5)^-10

(a^b)^c = a^(b+c)

1/5 = 5^(-1)

(5^4/5 * 5^4/5)^-10 = (5^(4-1) * 5^(4-1))^-10 = ( 5^3 * 5^3)^-10 =(5^6)^-10 = 5^(6-10) = 5^-4

(a^b)^c = a^(b+c)

1/5 = 5^(-1)

(5^4/5 * 5^4/5)^-10 = (5^(4-1) * 5^(4-1))^-10 = ( 5^3 * 5^3)^-10 =(5^6)^-10 = 5^(6-10) = 5^-4

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