Question

[(2/5)^9] × y = [(2/5)^5
Solve for y

Answer 1

(2÷5)^9×y=(2÷5)^5
(2^9÷5^9)×y=(2^5÷5^5
y=(2^5÷5^5)×(5^9×2^9)
y=(5^4÷2^4)
y=(5÷2)^4
verification
(2÷5)^9×y=(2÷5)^5
(2÷5)^9×(5÷2)^4=(2÷5)^5
(2÷5)^5=(2÷5)^5
hence verified

Answer 2

(2/5)^9 × y = (2/5)^5

=> y = (2/5)^5 ÷ (2/5)^9

=> y = (2/5)^-4 = (5/2)^4

hope it helps....

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