Предмет: Алгебра, автор: chocolatesweeheart

Сократить 50^n+1 / 2^n-2*5^2n+1

Ответы

Автор ответа: kirichekov

Ответ:

= 40

Объяснение:

$\frac{ {50}^{n + 1} }{ {2}^{n - 2} \times {5}^{2n + 1}} =$

1).

${2}^{n - 2} =\frac{ {2}^{n} }{ {2}^{2} } = \frac{ {2}^{n} }{4}$

2).

${5}^{2n + 1} = {5}^{2n} \times {5}^{1} = {( {5}^{2}) }^{n} \times 5 = 5 \times {25}^{n}$

3).

${2}^{n - 2} \times {5}^{2n + 1} = \frac{ {2}^{n} }{4} \times 5 \times {25}^{n} = \frac{5}{4} \times {(2 \times 25)}^{n} = \frac{5}{4} \times {50}^{n}$

4).

${50}^{n + 1} = {50}^{n} \times {50}^{1} = 50 \times {50}^{n}$

5).

$\frac{ {50}^{n + 1} }{ {2}^{n - 2} \times {5}^{2n + 1}} = \frac{50 \times {50}^{n} }{ \frac{5}{4} \times {50}^{n}} = 50 \div \frac{5}{4} = 40$

Предыдущий вопрос

Следующий вопрос

Интересные вопросы

Предмет: Геометрия, автор: AlekseevaAS

в треугольной пирамиде SABC ребра SA = 6, SB=4 и SC=12. Если эти ребра взаимно перпендикулярны, то радиус шара, описанного около пирамиды, равен

2 года назад

Предмет: Русский язык, автор: Butterfly2002

Расставьте знаки препинания пожалуйста:
цветы здесь были самые разные и пышные астры и нежные лилии и великолепные розы и скромные гвоздики и гордые гладиолусы.

2 года назад

Предмет: Английский язык, автор: demon8989

друзья, нужны два коротких пересказа на английском. Помогите, пжлст

1
We all look forward to our holiday. It’s a chance to forget about the stress of the office or the factory and relax for a week or two. We can then return, feeling healthy and ready to face the challenge of work once again. Recent research, however, suggests that for some people going on holiday might cause more stress than staying at work.
It’s a particular problem for those people who find it impossible to relax. For a few weeks they are living in a different country or town, with different accommodation and different people around them. They miss their home, their friends, their food. And they worry about things: how much work will I have when I get back to the office? What’s happening to the house? Are the family enjoying themselves?
There are also problems caused by spending twenty-four hours a day with the family. During the rest of the year, individual members of the family can get away from each other; they go to school or work; they see their friends. But on holiday, they can’t do that; there is no escape. It’s not surprising, then, that there is tension, disagreement, arguing.
Also, the theory that most of us return from a holiday fresh and ready to start work seems to be largely untrue. Many people feel depressed about walking back into the office; it often takes them up to a week to get back to normal. Some can’t stand the thought of work at all, and call the office to say they are sick.
But if all this is true, why do we all think that holidays are such wonderful things? The answer is that we lie to ourselves and our friends. We have spent so much time and money planning the holiday that we are scared to admit it was disappointing. ‘We had a great time,’ we say, even if the weather was lousy and the hotel was a dump.

2
As soon as you arrive at Queen Ethelburga's College, you sense that, compared with other schools, it is special, friendly and pleasingly different.
Our campus is exceptional, with a range and quality of facilities few can equal. Students, past and present, will tell you of our successful commitment to them as individuals, our dedicated caring staff and the high academic standards we maintain. We aim to give every pupil an Education for Life, with academic excellence at its core but with social and life skills at its heart. We have a history of being top UK school for GCSE results and A-Level results.
Queen Ethelburga's College welcomes students aged 11 to 21. Our junior School, Chapter House welcomes pupils aged 2 to 11.
It is essential that you visit us to discover first-hand the quality of education and the range of learning and leisure opportunities we provide in order to meet every student's academic aspirations and encourage their personal and social development.

OUR PHILOSOPHY and PRINCIPLES
To offer all students a broad and balanced curriculum.
To treat all students as individuals.
To strive for academic excellence.
To develop and promote self-confidence, independence and co-operation.
To foster a spirit of enquiry.
To encourage self-discipline and a high standard of behaviour.
To provide a happy and stimulating environment for study.
To prepare students for future educational and working environments.
To foster and promote spiritual development.
To encourage physical and mental fitness.
To promote community and global awareness.
To equip students with technological expertise*.
To provide a safe and secure environment in which students thrive.
*expertise – знания, опыт

As you would expect, class sizes are small and our teachers are able to give every student a high degree of individual attention. In addition, Group Tutors maintain a close personal interest in every student’s progress. Our objective in the early years at school is to identify each student’s strengths, weaknesses and particular lines of interest in order to develop the most appropriate selection of GCSE subjects when that time arrives.
Those students who join us aged between eleven and thirteen will enter a broad programme of courses including English, Mathematics, three Sciences, Music, the Arts, Languages, Information Technology and the Humanities. PSHCE (Personal Social Health and Citizenship) includes Careers, Citizenship and RE (Religious Education). Sport is also included.
Class work goes well beyond the requirements of the national curriculum, to provide stimulus for every student to discover where their interests lie, and to benefit from it in later years.

Сократить 50^n+1 / 2^n-2*5^2n+1​

Ответы

Сократить 50^n+1 / 2^n-2*5^2n+1