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annochka2000180
@annochka2000180
July 2022
1
4
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Вычислите: а) (5³)⁴ ÷ 5¹⁰
б) (4⁻⁵)⁵ × 4²³
в) (4⁻¹)⁸ ×(2⁻³)⁻³
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m11m
A)
(5³)⁴
=
5¹²
=5²=25
5¹⁰ 5¹⁰
б) (4⁻⁵)⁵ * 4²³=4⁻²⁵ * 4²³=4⁻²⁵⁺²³=4⁻²=
1
16
в) (4⁻¹)⁸ * (2⁻³)⁻³ =4⁻⁸ * 2⁹ =(2²)⁻⁸ * 2⁹=2⁻¹⁶ * 2⁹ =2⁻¹⁶⁺⁹=2⁻⁷ =
=
1
=
1
2⁷ 128
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Answers & Comments
5¹⁰ 5¹⁰
б) (4⁻⁵)⁵ * 4²³=4⁻²⁵ * 4²³=4⁻²⁵⁺²³=4⁻²= 1
16
в) (4⁻¹)⁸ * (2⁻³)⁻³ =4⁻⁸ * 2⁹ =(2²)⁻⁸ * 2⁹=2⁻¹⁶ * 2⁹ =2⁻¹⁶⁺⁹=2⁻⁷ =
= 1 = 1
2⁷ 128