Возведение в степень произведения и степени

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  • 28.09.2025
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Возведение в степень произведения и степени

П.20, стр.103

КЛАССНАЯ РАБОТА.

Домашнее задание

П.20 изучить, №428, №447

Опрделения:

Для любых a и b и произвольного натурального числа n
(ab)n=аnbn

Свойство степени произведения распространяется на степень произведения трех и более множителей

Чтобы возвести в степень произведение, достаточно возвести в эту степень каждый множитель и результаты перемножить.

Для любых a и произвольных натуральных числа n и b
(ab)n=аnb
При возведении степени в степень основание оставляют тем же,а показатели перемножают

Стр.105, №429

№1. Выполните возведение в степень, представив предварительно основание степени в виде произведения множителей -1 и x

а) (-х)2; б) (-х)8; в) (-х)100 ; г)(-х)2n;
а) (-х)3; б) (-х)9; в) (-х)71; г) (-х)2n+1 .

№2. Представьте произведение в виде степени:

а) x5y5; б) 36a2b2; в) 0,001 x3c3;
а) -x3; б) -8x3; в) -32a5b5;
а) -x5y5z5; б) 0,027a3b3с3; в) -1/64x3a3z3.

№3. Решите уравнение:

а) 2 + 3x = − 2x − 13;
б) 1 − 2(5 +3x) = 15;
в) 8 − 5(8 + 3x) = 13.

№4. При каком значении x значения выражений 7х-2 и 3х+6 равны?

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THE SLIDE TITLE GOES HERE!

MAYBE YOU NEED TO DIVIDE THE CONTENT

MERCURY

VENUS

Venus has a beautiful name and is the second planet from the Sun. It’s terribly hot

Mercury is the closest planet to the Sun and the smallest one in the Solar System

YOU COULD USE THREE COLUMNS, WHY NOT?

JUPITER

It’s a gas giant and the biggest planet in the Solar System

MARS

Despite being red, Mars is actually a very cold place

SATURN

It’s a gas giant, composed mostly of hydrogen and helium

A PICTURE ALWAYS REINFORCES THE CONCEPT

Images reveal large amounts of data, so remember: use an image instead of a long text

A PICTURE IS WORTH A THOUSAND WORDS

AWESOME WORDS

DO YOU NEED A GRAPH?

Venus has a beautiful name, but it’s terribly

Mercury is the closest planet to the Sun

To modify this graph, click on it, follow the link, change the data and paste the new graph here

SOMETIMES, REVIEWING CONCEPTS IS A GOOD IDEA

MERCURY

Mercury is the closest planet to the Sun

VENUS

Venus has a beautiful name, but it’s terribly hot

JUPITER

It’s the biggest planet in the Solar System

SATURN

Saturn is the ringed one and a gas giant

MARS

Despite being red, Mars is a cold place

NEPTUNE

Neptune is the farthest planet from the Sun

INFOGRAPHICS MAKE YOUR IDEA UNDERSTANDABLE...

SATURN

Saturn is the ringed one and a gas giant

NEPTUNE

Neptune is the farthest planet

MARS

Mars is actually a very cold place

JUPITER

It’s the biggest planet of them all

...AND THE SAME GOES FOR TABLES

MASS
(earths)

DIAMETER
(earths)

SURFACE GRAVITY
(earths)

MERCURY

0.06

0.38

MARS

0.11

0.53

0.38

SATURN

95.2

9.4

1.16

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MARS

Despite being red, Mars is a cold place

MERCURY

Mercury is the closest planet to the Sun

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DAY 1

Mercury is the closest planet to the Sun

Jupiter is the biggest planet of them all

Despite being red, Mars is a cold place

Venus has a beautiful name, but it’s very hot

DAY 2

DAY 3

DAY 4

4,498,300,000

Big numbers catch your audience’s attention

333,000.00

earths is the Sun’s mass

24h 37m 23s

is Jupiter’s rotation period

386,000 km

is the distance between Earth and the Moon

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JENNA DOE

HELENA JAMES

You can replace the image on the screen with your own

YOU COULD USE FOUR COLUMNS, WHY NOT?

MERCURY

Mercury is the closest planet to the Sun

VENUS

Venus has a beautiful name, but it’s terribly hot

MARS

Despite being red, Mars is a cold place

JUPITER

It’s the biggest planet in the Solar System

MERCURY

02

You can enter a subtitle here if you need it

PROGRESS

Venus has a beautiful name, but it’s hot

Mercury is the closest planet to the Sun

To modify this graph, click on it, follow the link, change the data and paste the new graph here

70%

30%

IDENTIFYING INFORMATION

SATURN

Saturn is the ringed one and a gas giant

20%

MERCURY

Mercury is the closest planet to the Sun

50%

WHAT ABOUT THESE PERCENTAGES?

20%

Despite being red, Mars ir a cold place

MARS

50%

Saturn is the ringed one and a gas giant

SATURN

75%

It’s the smallest planet in the Solar System

MERCURY

JUPITER

03

You can enter a subtitle here if you need it

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