1) 957 * 959 - 958² = (958 - 1)(958 + 1) - 958² =958² - 1 - 958² = - 1
2) 49¹⁶ : 7³⁰ = (7²)¹⁶ : 7³⁰ = 7³² : 7³⁰ = 7³²⁻³⁰ = 7² = 49
3) 81⁻¹⁶ : 9⁻³³ = (9²)⁻¹⁶ : 9⁻³³ = 9⁻³² : 9⁻³³ =9⁻³²⁻⁽⁻³³⁾ = 9⁻³²⁺³³ = 9¹ = 9
4) (732 + 727)² - 4 * 727 * 732 = 732² + 2 * 732 * 727 + 727² - 4 * 727 * 732 =
= 732² - 2 * 732 * 727 + 727² = (732 - 727)² = 5² = 25
1) 957 * 959 - = 917763 - 917768 = -5
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Answers & Comments
1) 957 * 959 - 958² = (958 - 1)(958 + 1) - 958² =958² - 1 - 958² = - 1
2) 49¹⁶ : 7³⁰ = (7²)¹⁶ : 7³⁰ = 7³² : 7³⁰ = 7³²⁻³⁰ = 7² = 49
3) 81⁻¹⁶ : 9⁻³³ = (9²)⁻¹⁶ : 9⁻³³ = 9⁻³² : 9⁻³³ =9⁻³²⁻⁽⁻³³⁾ = 9⁻³²⁺³³ = 9¹ = 9
4) (732 + 727)² - 4 * 727 * 732 = 732² + 2 * 732 * 727 + 727² - 4 * 727 * 732 =
= 732² - 2 * 732 * 727 + 727² = (732 - 727)² = 5² = 25
Verified answer
1) 957 * 959 - = 917763 - 917768 = -5
2)
3)
4)