Question

Simplify([(3^2 )^7÷3^8 ]×3^(-4))/(3^6×729)

Answer 1

The question can be divided in 2 parts:-
a) ([(3²)⁷ / 3⁸] *3⁻⁴)
b) (3⁶ * 3⁵)
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Solving part 1           
(3²*⁷ / 3⁸)  * 3⁻⁴        
= (3¹⁴ / 3⁸) * 3⁻⁴       
= (3¹⁴⁻⁸) * 3⁻⁴       
=3⁶ * 3⁻⁴
=3⁶⁻⁴
= 3²
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Solving Part 2
(3⁶ * 3⁵)
=3⁶⁺⁵
3¹¹
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∴Final Equation = 3²/3¹¹ = 3²⁻¹¹ = 3⁻⁹
= 1/19,683