Помогите решить срочно! Даю 20 баллов
Ответы
Ответ:
Объяснение:
a⁻⁸·a¹²=a⁻⁸⁺¹²=a⁴
a⁷·a⁻¹¹=a⁷⁻¹¹=a⁻⁴=1/a⁴
a⁻⁶·a¹⁰·a⁻²⁰=a⁻⁶⁺¹⁰⁻²⁰=a⁻¹⁶=1/a¹⁶
a⁻³÷a⁵=a⁻³·a⁻⁵=a⁻³⁻⁵=a⁻⁸=1/a⁸
a⁻⁴÷a⁻¹²=a⁻⁴·a¹²=a⁻⁴⁺¹²=a⁸
a¹⁷·a⁻²³÷a⁻¹⁵=a¹⁷⁻²³·a¹⁵=a⁻⁶⁻¹⁴⁺¹⁵=a⁹
(a⁻⁴)⁸=a⁻³²=1/a³²
(a³)⁻⁷·(a⁻⁴)⁻⁵÷(a⁻⁵)⁸=a⁻²¹·a²⁰·a⁴⁰=a⁻²¹⁺²⁰⁺⁴⁰=a³⁹
(a⁵b⁻³c⁴)⁻¹⁰=a⁻⁵⁰b³⁰c⁻⁴⁰=b³⁰/(a⁵⁰c⁴⁰)
(a²b⁻³)⁻³·(a⁻⁴b⁻⁹)⁶=a⁻⁶b⁹·a⁻²⁴b⁻⁵⁴=a⁻⁶⁻²⁴·b⁹⁻⁵⁴=a⁻³⁰b⁻⁴⁵=1/(a³⁰b⁴⁵)
((a¹²b⁻⁴)/(c⁵d⁻¹³)⁻²=a⁻²⁴b⁸·c¹⁰d⁻²⁶=(b⁸c¹⁰)/(a²⁴d²⁶)
(a⁷/b⁻³)⁻⁴·(a⁻³/b⁹)⁻¹²=a⁻²⁸·b⁻¹²·a³⁶·b¹⁰⁸=a⁻²⁸⁺³⁶·b⁻¹²⁺¹⁰⁸=a⁸b⁹⁶
52.
7⁵·7⁻⁷=7⁵⁻⁷=7⁻²=1/7²=1/49
10⁻¹²·10¹⁵=10⁻¹²⁺¹⁵=10³=1000
5⁻¹²÷5⁻¹⁶=5⁻¹²·5¹⁶=5⁻¹²⁺¹⁶=5⁴=625
3⁻¹⁴·3⁻¹⁹÷3⁻³⁴=3⁻¹⁴⁻¹⁹·3³⁴=3⁻³³⁺³⁴=3¹=3
(13⁻⁹)⁴·(13⁻²)⁻¹⁸=13⁻³⁶·13³⁶=13⁻³⁶⁺³⁶=13⁰=1
(2⁻⁴·(2⁻³)⁵)/((2⁻⁸)²·2⁻³)=(2⁻⁴⁻³)⁵/(2⁻¹⁶·2⁻³)=(2⁻⁷)⁵/2⁻¹⁶⁻³=2⁻³⁵·2¹⁹=2⁻³⁵⁺¹⁹=2⁻¹⁶=1/2¹⁶
53.
27⁻³÷81⁻²=(3³)⁻³·(3⁴)²=3⁻⁹·3⁸=3⁻⁹⁺⁸=3⁻¹=1/3
((-36)⁻³·6⁴)/(216⁻⁴·(-6)⁹)=((-6²)⁻³·6⁴)/((6³)⁻⁴·(-6)⁹)=(-6⁻⁶·6⁴)/(6⁻¹²·(-6)⁹)=6⁻⁶⁺⁴/6⁻¹²⁺⁹=6⁻²·6³=6⁻²⁺³=6¹=6
(21⁵·3⁻⁷)/(63⁻²·7⁸)=((3·7)⁵·3⁻⁷)/((7·3²)⁻²·7⁸)=(3⁵·7⁵·3⁻⁷)/(7⁻²·3⁻⁴·7⁸)=(3⁵⁻⁷·7⁵)/(7⁻²⁺⁸·3⁻⁴)=3⁻²·7⁵·7⁻⁶·3⁴=7⁵⁻⁶·3⁻²⁺⁴=7⁻¹·3²=1/7 ·9=9/7=1 2/7
((0,2)⁻⁶·25⁻⁷)/125⁻³=((1/5)⁻⁶·(5²)⁻⁷)/(5³)⁻³=(5⁶·5⁻¹⁴)/5⁻⁹=5⁶⁻¹⁴·5⁹=5⁻⁸·5⁸=5⁻⁸⁺⁸=5⁰=1