przestaw ilocznyn potęg w postaci iloczynu i oblicz
a) (-¼)²*16²
(2½)³*(-4)³
(0,1)⁵*10⁵
(-1,5)²*(-8)²
b)( (⅙)⁵*12⁵
7,5³*(⅔)³
(2/7)⁸*3,5⁸
0,75*(2⅖)⁵
10³*0,01³
przestaw ilocznyn potęg w postaci ilorazu i oblicz
a) (-4)²/8²
(0,55)²/(0,11)²
121²/11²
196²/14²
b)(-2,5):0,5³
(-1⅓)⁴:(⅔)⁴
(-4,8)⁶:(4⅘)⁶
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a) (-¼)²*16² =
(-¼ × 16)² =
(-4)² =
16
(2½)³*(-4)³=
[⁵/₂ × (-4)]³ =
(-10)³ =
-1000
(0,1)⁵*10⁵ =
(¹/₁₀ × 10)⁵ =
1⁵ =
1
(-1,5)²*(-8)² =
[(-¹⁵/₁₀) × (-8)]² =
12² =
144
b)( (⅙)⁵*12⁵ =
(⅙ × 12)⁵ =
2⁵ =
32
7,5³*(⅔)³ =
(⁷⁵/₁₀ × ⅔ )³ =
5³ =
125
(2/7)⁸*3,5⁸ =
(²/₇ × ³⁵/₁₀)⁸ =
1⁸ =
1
0,75*(2⅖)⁵ = tu jest dobre zdanie?
1₁0³*0,01³+
(10 × ¹/₁₀₀ )³ =
(¹/₁₀ )³ =
¹/1000
a) (-4)²/8² =
(4/8)² =
(½)² =
¼
(0,55)²/(0,11)²=
(⁵⁵/₁₀₀ ÷ ¹¹/₁₀₀)² =
(⁵⁵/₁₀₀ ×¹⁰⁰/₁₁)² =
5² =
25
121²/11²=
(121 ÷ 11)² =
11² =
121
196²/14² =
(196 ÷ 14)² =
14² =
196
b)(-2,5):0,5³ =
[(-²⁵/₁₀) ÷ ⁵ /₁₀]³ =
[(-²⁵/₁₀) × ¹⁰/₅]³ =
(-5)³ =
125
(-1⅓)⁴:(⅔)⁴=
[(-⁴/₃) ÷ ⅔ ]⁴ =
[(-⁴/₃)׳/₂]⁴ =
(-2)⁴ =
16
(-4,8)⁶:(4⅘)⁶ =
(-4⅘)⁶ ÷ (4⅘)⁶ =
(-4⅘)⁰ =
1