if 2 /5 whole power 5 × 25 / 4 whole power 3 is equal to 5 / 2 whole power 3x-
2 then find the value of x
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Answer:
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Step-by-step explanation:
(2/5)⁵ X (25/4)³ = (5/2)∧3x-2
(2/5)⁵ x ((5/2)²)³ = (5/2)∧3x-2
1/(5/2)⁵ X (5/2)⁶ = (5/2)∧3x-2
(5/2)⁶⁻⁵ = (5/2)∧3x-2
(5/2)¹ = (5/2)∧3x-2
when bases are same, powers are equal.
3x - 2 = 1
=> 3x = 3
=> x = 1
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