109.  Hisoblang:

       1) 2³ + (–3)³ – (–2)² + (–1)⁵;                         2) (–7)2² – (–4)³ – 3⁴;

       3) 13 · 2³ – 9 ∙ 2³ + 2³;                                  4) 6(–2)³ – 5(–4)³ – (–2)³.

 

110. Ifodani natural ko`rsatkichli daraja shaklida yozing:

       1)                2)           3)             4)

 

111. (Og`zaki.) Hisoblang:

       1) 1⁻⁵;           2) 4⁻³;                  3) (–10)⁰;     4) (–5) ⁻²;    5) ;    6)

 

112. Manfiy ko`rsatkichli daraja shaklida yozing:

       1)            2)                  3)                   4)

 

       Hisoblang (113 – 114):

 

113. 1)                        2)                      3) (0,2) ⁻⁴;

       4) (0,5) ⁻⁵;                         5) –(–17) ⁻¹;                    6) –(–13) ⁻².

 

114. 1) 3⁻¹ + (–2) ⁻²;                                          2)

       3) (0,2) ⁻² + (0,5) ⁻⁵;                             4) (–0,1) ⁻³ – (–0,2) ⁻³.

 

115. (Og`zaki.) Bir bilan taqqoslang:

1) 12⁻³;                    2) 21⁰;                            3) (0,6) ⁻⁵;             4)

 

116. Ifodani manfiy ko`rsatkichsiz daraja shaklida yozing:

1) (x – y) ⁻²;                      2) (x + y) ⁻³;                    3) 3⁻⁵c⁸;

4) 9a³b⁻⁴;                         5) a⁻¹b²c⁻³;                     6) a²b⁻¹c⁻³.

 

Hisoblang (117 – 118):

117. 1)           2)    3) 0,3⁷ ∙ 0,3⁻¹⁰;      4) 17⁻⁵ ∙ 17³  ∙ 17.

 

118. 1) 9⁷ : 9¹⁰;               2) (0,2)² : (0,2) ⁻²;  3)   4)

 

119. Darajani darajaga ko`taring:

1) (a³) ⁻⁵;                 2) (b⁻²) ⁻⁴;             3) (a⁻³)⁷;               4) (b⁷) ⁻⁴.

 

120. Ko`paytmani darajaga ko`taring:

1) (ab⁻²)³;               2) (a²b⁻¹)⁴;           3) (2a²) ⁻⁶;             4) (3a³) ⁻⁴.

 

121. Amallarni bajaring:

1)                2) ;            3)            4)

 

122. 1) x = 5, y = 6,7 bo`lganda  ning qiymatini hisoblang.

2) a = 2, b = –3 bo`lganda  ning qiymatini hisoblang.

 

Standart shaklida yozing (123 – 124):

123. 1) 200000⁴;             2) 0,003³;              3) 4000⁻²;             4) 0,002⁻³.

 

124. 1) 0,000087;            2) 0,00000005086; 3)                  4) .

 

125. Oynani sillaqlash jarayoni uning sirtidagi o`yiqliklar chuqurligi 3 ∙ 10<sup>−3</sup> mm dan ortmaydigan bo`lganda to`xtatiladi. Shu sonni o`nli kasr ko`rinishida yozing.

 

126. O`rta og`irlikdagi vodorod 0,00000000001 sekundgina “yashaydi” (mavjud bo`ladi).shu sonni manfiy ko`rsatkichli daraja shaklida yozing.

 

 

 

127. Gripp virusining o`lchamlari taxminan 10<sup>−4</sup> mm ni tashkil qiladi. Shu sonni o`nli kasr shaklida yozing.

 

128. Kasrni daraja shaklida tasvirlang va uning qiymatini a ning berilgan qiymatida toping:

1)                                  2)

 

129. Hisoblang:

1) ((–20)⁷) ⁻⁷ : ((–20) ⁻⁶)⁸ + 2⁻³;                      2) ((–17) ⁻⁴) ⁻⁶ : ((–17) ⁻¹³) ⁻² – .

 

130. Soddalashtiring:

1) (a⁻² + b⁻²) ∙ (a⁻² – b⁻²) ⁻¹ ∙ (a⁻² – a⁻¹b⁻¹ + b⁻²) ⁻¹;

2) (a⁻²b – ab⁻²) ∙ ((a⁻² + a⁻¹b⁻¹ + b⁻²) ⁻¹).

 

 

TEST