The document Chapter Notes - Exponents and Powers Class 7 Notes | EduRev is a part of the Class 7 Course Mathematics (Maths) Class 7.

All you need of Class 7 at this link: Class 7

**13. Exponents and Powers**

**Exponents and Powers**

An **exponent or power** is a mathematical representation that indicates the number of times that a number is multiplied by itself.

An **exponent or power** is a mathematical representation that indicates the number of times that a number is multiplied by itself.

If a number is multiplied by itself m times, then it can be written as: a x a x a x a x a...m times = am

Here, a is called the** base**, and m is called the **exponent, power or index.**

Numbers raised to the** power **of two are called **square numbers.**

**Square numbers **are also read as two-square, three-square, four-square, five-square, and so on.

Numbers raised to the power of three are called** cube numbers.**

**Cube numbers **are also read as two-cube, three-cube, four-cube, five-cube, and so on.

**Negative numbers** can also be** written using exponents.**

If an = b, where a and b are **integers** and n is a **natural number**, then an is called the** exponential form of b.**

The** factors** of a product can be expressed as the** powers **of the **prime factors** of 100.

This form of **expressing numbers** using **exponents** is called the** prime factor product form of exponents.**

**Page 52**

Even if we interchange the** order of the factors**, the value remains the same.

So a raised to the power of x multiplied by b raised to the power of y, is the same as b raised to the power of y multiplied by a raised to the power of x.

The value of an **exponential number** with a negative base raised to the power of an **even number is positive.**

If the base of two **exponential numbers** is the same, then the number with the **greater exponent** is greater than the number with the **smaller exponent.**

A number can be expressed as a **decimal number** between 1.0 and 10.0, including 1.0, multiplied by a power of 10. Such a form of a number is known as its **standard form.**

**Laws of Exponents**

When numbers with the same base are multiplied, the **power of the product.**

When numbers with the same base are multiplied, the power of the product is equal to the sum of the powers of the numbers.

More precisely if m and n are whole numbers then,

When numbers with the same base are divided, then the **power of the quotient is** equal to the difference between the powers of the dividend and the divisor. That is, if is a non-zero integer, and m and are whole numbers then, **a ^{m} Ã· a^{n} = a^{m-n}**

**The other laws of exponents are as follows:**

1) **a ^{m} Ã· a^{n} = a^{m-n} ** , where> are non - zero integers, and

2) **a ^{m} Ã· a^{n} = a^{m-n}** , where are non - zero integers, and

3) **a ^{m} Ã· a^{n} = a^{m-n} ** ,where> a is a non-zero integer, and m and n are whole numbers.

4) **a ^{0} = 1,** The value ,where> a is a non-zero integer.

5) ,where> a is a non - zero integer, and m and n are whole numbers.

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

210 videos|109 docs|45 tests

### NCERT Solutions(Part - 1) - Exponents and Powers

- Doc | 6 pages
### NCERT Solutions(Part - 2) - Exponents and Powers

- Doc | 4 pages
### Test: Exponents And Powers - 1

- Test | 20 ques | 10 min
### Understanding: Powers with the Same Exponent

- Video | 10:23 min
### Worksheet Question - Exponents and Powers

- Doc | 1 pages
### Writing Numbers as a Product of Powers of Prime Factors

- Video | 04:12 min

- NCERT Textbook - Exponents and Powers
- Doc | 16 pages
- Introduction to Exponents
- Video | 08:51 min