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Ejercicios Resueltos.

1.) 3³ · 3⁴ · 3 = 3⁸

2.) 5⁵ . 5³ . 5^-8 =5^5+3-8=5⁰=1

3.) 6⁴ . 6⁵ . 6¹⁰. 6^-18 = 6^4+5+10-18= 6¹ = 6

4.) 2² . 2³ . 2^-9 . 2² = 2^2+3-9+2 = 2^-2= 1/2² = 1/4

5.) 4⁵ / 4³ ( 4³ / 4⁶ )= 4^5-3 ( 4^3-6 ) = 4² . 4^-3 = 4^-1 = 1/4

6.) 7⁶ / 7² ( 7⁴ / 7^-7) = 7^6-2 [7^4-(-7)] = 7⁴⁺¹¹= 7¹⁵

7.) 9¹⁰/9⁰ : 9¹ / 9^-5 . 9⁴ / 9^-3 : 9^-2 / 9³ = 9^10-0 : 9^1-(-5) . 9^4-(-3): 9^-2-3= 9⁴⁺¹² = 9¹⁶ = 3²⁽¹⁶⁾ = 3³²

8.) [(2 . 5)² . (5 . 2)⁵]⁴= (2² . 5²)⁴ . ( 5⁵ . 2⁵ )⁴= 2²⁽⁴⁾ . 5²⁽⁴⁾. 5⁵⁽⁴⁾ . 2⁵⁽⁴⁾ = 2⁸ . 5⁸ . 5²⁰ . 2²⁰

= 2²⁸ . 5²⁸

9.) [(8/3)²/ (8/9)³]⁴ = [(2³⁽²⁾/3²) / (2³⁽³⁾/3²⁽³⁾]⁴ = (2⁶⁽⁴⁾/3²⁽⁴⁾) / (2⁹⁽⁴⁾/3⁶⁽⁴⁾)

=(2²⁴/3⁸)/ (2³⁶/3²⁴) =(2²⁴ . 3²⁴) / (2³⁶ . 3⁸) = 2^24-36 . 3^24-8= 2^-12. 3¹⁶ = 3¹⁶/2¹²

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