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I have solved all the three questions
I hope it will help you
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Step-by-step explanation:
(i) 5^2n x 5^ 3 = 5^9
in multiplication, if base are same than powers are added,
therefore,. 5^2n+3 = 5^9
2n + 3 = 9
n. =. 9 - 3 ÷ 2
n = 3
(ii) 8 x 2^n+2 = 32
simplify......
2^3 x 2^n+2 = 2^5
in multiplication, if base are same than powers are added,
n+ 2+ 3 = 5
n = 0
(iii) 6^2n+1 ÷ 36 = 6^3
simplify.......
6^2n+1 ÷ 6^2 = 6^3
in division, if base are same than powers are subtracted,
2n + 1 - 2 = 3
2n - 1 = 3
n = 4 / 2
n= 2
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