**Exponents and Powers RS** **Aggarwal** ICSE Class-8th Mathematics Goyal Brothers Prakashan Chapter-2 Solutions. We provide step by step Solutions of Exercise / lesson-2 **Exponents and Powers ** for ICSE Class-8 **RS Aggarwal** Mathematics .

Our Solutions contain all type Questions with Exe-2 A, Exe-2 B (MCQ) and Mental maths to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-8 Mathematics.

**Exponents and Powers RS** **Aggarwal** Solutions ICSE Class-8th Mathematics Goyal Brothers Prakashan Chapter-2

**–: Select Topics :–**

**Introduction to Exponents and Powers**

When the numbers given are very large like 54,32,00,00,000 then it is not easy to read them so we write them in the form of exponents.

Exponents make these numbers easy to read, write, understand and compare.

**Laws of Exponents**

**1. How to multiply powers with the same base?**

If we have to multiply the powers which have the same base then we have to add the exponents.

**a ^{m} × a^{n} = a^{m + n}**

**Example**

8^{3} × 8^{4} = 8^{3 + 4} = 8^{7}

**2. How to divide powers with the same base?**

If we have to divide the powers which have the same base then we have to subtract the exponents.

**3. How to take the power of a power?**

If we have to take the power of a power then we have to multiply the exponents.

**(a ^{m})^{n} = a^{mn}**

**Example**

(8^{3})^{4} = 8^{3 × 4 }= 8^{12}

**4. How to multiply the powers with the same exponents?**

If we have to multiply the powers where the base is different but exponents are same then we will multiply the base.

**a ^{m}b^{m} = (ab)^{m}**

**Example**

8^{3}4^{3} = (8× 4)^{3 }= 32^{3}

**5. How to divide the powers with the same exponents?**

If we have to divide the powers where the base is different but exponents are same then we will divide the base.

**6. Numbers with Exponent Zero**

Any number with zero exponents is equal to one irrespective of the base.

**a ^{°} = 1**

**Example**

8^{°} = 1

**7. Numbers with Exponent One**

Any number with one as the exponent is equal to the number itself.

**a ^{1} = a**

**Example**

8^{1} = 8

**8. Power with a Negative Exponent**

Negative exponents can be converted into positive exponents.

### Exercise – 2 A Exponents and Powers RS Aggarwal ICSE Class-8th Mathematics Goyal Brothers Prakashan

#### Question 1

simplify

#### Question 16

simplify………….

### Exercise – 2 B (MCQ), Exponents and Powers RS Aggarwal ICSE Class-8th Mathematics Goyal Brothers Prakashan

**Multiple Choice Question **

**choose the correct option in each of the following.**

#### Question 1

which……………equal

#### Question 2

if…………….is

#### Question 3

the value…………..is

#### Question 4

the value…………..between

#### Question 5

the……………….is

#### Question 6

the……………….is

#### Question 7

the……………….is

#### Question 8

…………….

#### Question 9

which……………..as

#### Question 10

if…………….respectively

#### Question 11

out …………….greatest.

#### Question 13

if……………….x is…..

#### Question 14

if……………….x is…..

#### Question 17

if……………………to

#### Question 18

if ……………….n is

#### Question 19

if…………………equal

#### Question 20

the simplest value of………..

### Mental Maths Goyal Brothers Prakashan Chapter-2 ICSE Class-8 Maths

#### Question 1

fill in the blanks………….

#### Answer

#### Question 2

write true false………..

#### Answer

–: End of **Exponents and Powers RS Aggarwal **ICSE Class-8th Solutions :–

Return to- **RS Aggarwal Solutions for ICSE Class-8 Goyal Brothers Prakashan**

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