Oblicz:
a) ¹⁴₂₅ * ⁵₆ : ⁷₁₅ =
b) 5 ⁵₆ : ( - 1 ³₄)*(-2 ¹₁₀)=
c) 2 ²₃ * ( - 5 ¹₄)
_____________ =
( - 9 ¹₃)

d) - 6 ¹₂
______ =
2⁴₇ * 1 ⁵₉

e) 7¹₅ * 5 ⁵₆
_________ =
8 ²₃ : 1 ⁴₉

f) - 3 ³₅ * 1 ⁷₈
__________ =
5 ³₇ : ( - 1 ³₅)

2

Odpowiedzi

2010-04-11T23:16:22+02:00
Oblicz:
a) ¹⁴₂₅ * ⁵₆ : ⁷₁₅ =14/30*15/7=42/42=1

b) 5 ⁵₆ : ( - 1 ³₄)*(-2 ¹₁₀)=35/6*(-4/7)*(-21/10)=7

c) 2 ²₃ * ( - 5 ¹₄) 8/3*(-21/4) -14
_____________ =----------------- = ---------- = -14*(-3/28)=-1,5
( - 9 ¹₃) (-28/3) -28/3

d) - 6 ¹₂ -13/2 -13/2
______ = -------------- = ----------- = -13/2*1/4=-1 i 5/8
2⁴₇ * 1 ⁵₉ 18/7*14/9 4

e) 7¹₅ * 5 ⁵₆ 36/5*35/6 42
_________ = -------------- = ------- = 7
8 ²₃ : 1 ⁴₉ 26/3*9/13 6

f) - 3 ³₅ * 1 ⁷₈ -18/5*15/8 -27/4
__________ = ---------------= --------- =(-27/4)*(-28/95)=1 i 94/95
5 ³₇ : ( - 1 ³₅) 38/7*(-5/8) -95/28
2010-04-11T23:19:31+02:00
A)
¹⁴₂₅ * ⁵₆ : ⁷₁₅ =¹⁴/₃₀ * ¹⁵/₇=²/₂=1
b)
5 ⁵₆ : ( - 1 ³₄)*(-2 ¹₁₀)=³⁵/₆ :(-⁷/₄)*(-²¹/₁₀)=³⁵/₆ *(-⁴/₇)*(-²¹/₁₀)= -¹⁰/₃ *(-²¹/₁₀)=7
c)
2 ²₃ * ( - 5 ¹₄) ⁸/₃*(-²¹/₄) ¹⁴/₁
_____________ =_____________=_____________=¹⁴/₁ *(-³/₂₈)=-³/₂=-1¹/₂
( - 9 ¹₃) (-²⁸/₃) (-²⁸/₃)

d)
- 6 ¹₂ -¹³/₂
______ = ______ = -¹³/₂ : ⁴/₁= -¹³/₂ * ¹/₄=-¹³/₈=-1⁵/₁₃
2⁴₇ * 1 ⁵₉ ¹⁸/₇ *¹⁴/₉

e)
7¹₅ * 5 ⁵₆ ³⁶/₅*³⁶/₆ ²¹⁶/₅
_________ =_________ =_________ =²¹⁶/₅ :⁶/₁=²¹⁶/₅ *¹/₆=³⁶/₅=7¹/₅
8 ²₃ : 1 ⁴₉ ²⁶/³ :¹³/₉ ²⁶/³*⁹/₁₃

f)
- 3 ³₅ * 1 ⁷₈ -¹⁸/₅ *¹⁵/₈ -²⁷/₄
_________ = _________ = _________ = - ²⁷/₄ :(-⁹⁵/₂₈)=- ²⁷/₄ *(-²⁸/₉₅)=1⁹⁴/₉₅
5 ³₇ : ( - 1 ³₅) ³⁸/₇:(-⁸/₅) ³⁸/₇ *(-⁵/₈)