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Answer:
(a) 729 = 27^2
27^2*1/6= 27^1/3
Now 27 = 3^3
= 27^1/3
= 3^3*1/3
= 3
(b) 64 = 8^2
= 8^2*2/3
= 8^4/3
Now 8 =2^3
= 2^3*4/3
= 2^4
= 16
(c) 243 = 3^5
3^5*6/5
= 3^6
= 729
(d) 21^3/2+5/2 [a^m*a^n= a^m+n]
= 21^8/2
= 21^4
= 194481
(e) 81^1/3-1/12 [ a^m/a^n = a^m-n ]
= 81^3/12
= 81^1/4
Now 81 = 9^2
= 9^2*1/4
= 9^1/2
Again, Now 9 = 3^2
= 3^ 2*1/2
= 3
Explanation:
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Answer:
a) 729 = 27^2
27^2*1/6= 27^1/3
Now 27 = 3^3
= 27^1/3
= 3^3*1/3
= 3
(b) 64 = 8^2
= 8^2*2/3
= 8^4/3
Now 8 =2^3
= 2^3*4/3
= 2^4
= 16
(c) 243 = 3^5
3^5*6/5
= 3^6
= 729
(d) 21^3/2+5/2 [a^m*a^n= a^m+n]
= 21^8/2
= 21^4
= 194481
(e) 81^1/3-1/12 [ a^m/a^n = a^m-n ]
= 81^3/12
= 81^1/4
Now 81 = 9^2
= 9^2*1/4
= 9^1/2
Again, Now 9 = 3^2
= 3^ 2*1/2
= 3
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