Question

(2×7) la puterea 14 (3×5) la puterea 7 (2×3×5) la puterea 23 (4×5) la puterea 2


Ex.2 12 la puterea 24 : 3 la puterea 24 125 la puterea 45 : 5 la puterea 45 18 la puterea 17 : 9 la puterea 17 9 la puterea 36 : 3 la puterea 36

Answer 1

( 2 x 7 )¹⁴ = 14¹⁴

( 3 x 5 )⁷ = 15⁷

( 2 x 3 x 5 )²³ = 30²³

( 4 x 5 )² = 20²

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12²⁴ : 3²⁴ = ( 4 x 3 )²⁴ : 3²⁴ = 4²⁴ x 3²⁴ : 3²⁴ = 4²⁴

125⁴⁵ : 5⁴⁵ = ( 5³ ) ⁴⁵ : 5⁴⁵ = 5 ⁹⁰ : 5 ⁴⁵ = 5 ⁽ ⁹⁰ ⁻ ⁴⁵ ⁾ = 5⁴⁵

18¹⁷ : 9¹⁷ = ( 2 x 9 )¹⁷ : 9¹⁷ = 2¹⁷ x 9¹⁷ : 9¹⁷ = 2¹⁷

9³⁶ : 3³⁶ = ( 3² )³⁶ : 3³⁶ = 3⁷² : 3³⁶ = 3 ⁽ ⁷² ⁻ ³⁶ ⁾ = 3⁷⁶ = ( 3² ) ³⁶ = 9³⁶