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regamark2000
@regamark2000
August 2022
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Упростите выражения:
а)(а³)⁻²×(а⁻⁷)⁻¹÷а⁻³
б)(-2/3а⁻²b³)⁻²×8b⁴/а²
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miron2077
Verified answer
(а³)⁻²*(а⁻⁷)⁻¹÷а⁻³=а⁻⁶*а⁷:а⁻³=а⁽⁻⁶⁺⁷⁺³⁾=а⁴
б)(-2/3а⁻²b³)⁻²*8b⁴/а²=9/4*а⁴*в⁻⁶*8в⁴:а²=18а⁽⁴⁻²⁾*в⁽⁻⁶⁺⁴⁾=18а²в⁻²
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Verified answer
(а³)⁻²*(а⁻⁷)⁻¹÷а⁻³=а⁻⁶*а⁷:а⁻³=а⁽⁻⁶⁺⁷⁺³⁾=а⁴б)(-2/3а⁻²b³)⁻²*8b⁴/а²=9/4*а⁴*в⁻⁶*8в⁴:а²=18а⁽⁴⁻²⁾*в⁽⁻⁶⁺⁴⁾=18а²в⁻²