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Step-by-step explanation:
5-² × 5²n+³ = 5¹¹
(5)-²+²n+³ = 5¹¹
(5)²n+¹ = 5¹¹
2n + 1 = 11
2n = 11 - 1
2n = 10
n = 10/2
n = 5
(3⅓ × 3¼)/3⁷/¹²
= (3)⅓+¼/3⁷/¹²
= 3⁷/¹²/3⁷/¹²
= 1
5) 5 is the base for the equation
therefore ,
-2+2n+3 = 11
2n = 11 - ( 3- 2)
2n = 11-1
2n = 10 , n = 10\2
thus , n = 5
6) again base is same but don't change the denominator
we have,
1/3 +1/4 = 7 / 12 ( on taking LCM)
so it becomes , 3^ 7/12
------------. = 1
3 ^ 7/12
Hope this helps you!!!