# Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 3 - Indices and Cube root [Latest edition]

## Solutions for Chapter 3: Indices and Cube root

Below listed, you can find solutions for Chapter 3 of Maharashtra State Board Balbharati for Mathematics 8th Standard Maharashtra State Board.

Practice Set 3.1Practice Set 3.2Practice Set 3.3
Practice Set 3.1 [Page 15]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 3 Indices and Cube root Practice Set 3.1 [Page 15]

Practice Set 3.1 | Q 1.1 | Page 15

Express the following number in index form.

Fifth root of 13

Practice Set 3.1 | Q 1.2 | Page 15

Express the following number in index form.

Sixth root of 9

Practice Set 3.1 | Q 1.3 | Page 15

Express the following number in index form.

Square root of 256

Practice Set 3.1 | Q 1.4 | Page 15

Express the following number in index form.

Cube root of 17

Practice Set 3.1 | Q 1.5 | Page 15

Express the following number in index form.

Eighth root of 100

Practice Set 3.1 | Q 1.6 | Page 15

Express the following number in index form.

Seventh root of 30

Practice Set 3.1 | Q 2.1 | Page 15

Write in the form 'nth root of a' in the following number.

(81)1/4

Practice Set 3.1 | Q 2.2 | Page 15

Write in the form 'nth root of a' in the following number.

49^(1/2)

Practice Set 3.1 | Q 2.3 | Page 15

Write in the form 'nth root of a' in the following number.

(15)^(1/5)

Practice Set 3.1 | Q 2.4 | Page 15

Write in the form 'nth root of a' in the following number.

(512)^(1/9)

Practice Set 3.1 | Q 2.5 | Page 15

Write in the form 'nth root of a' in the following number.

100^(1/19)

Practice Set 3.1 | Q 2.6 | Page 15

Write in the form 'nth root of a' in the following number.

(6)^(1/7)

Practice Set 3.2 [Page 16]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 3 Indices and Cube root Practice Set 3.2 [Page 16]

Practice Set 3.2 | Q 1 | Page 16

Complete the following table.

 Sr. No. Number Power of the root Root of the power (1) (225)3/2 Cube of square root of 225 Square root of cube of 225 (2) (45)4/5 (3) (81)6/7 (4) (100)4/10 (5) (21)3/7
Practice Set 3.2 | Q 2.1 | Page 16

Write the following number in the form of rational indices.

Square root of 5th power of 121

Practice Set 3.2 | Q 2.2 | Page 16

Write the following number in the form of rational indices.

Cube of 4th root of 324

Practice Set 3.2 | Q 2.3 | Page 16

Write the following number in the form of rational indices.

5th root of square of 264

Practice Set 3.2 | Q 2.4 | Page 16

Write the following number in the form of rational indices.

Cube of cube root of 3

Practice Set 3.3 [Page 18]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 3 Indices and Cube root Practice Set 3.3 [Page 18]

Practice Set 3.3 | Q 2.1 | Page 18

Simplify:

root(3)(27/125)

Practice Set 3.3 | Q 2.2 | Page 18

Simplify:

root(3)(16/54)

Practice Set 3.3 | Q 3 | Page 18

If root(3)(729) = 9 then root(3)(0.000729) = ?

Practice Set 3.3 | Q 3.1 | Page 18

Find the cube root of the following number.

8000

Practice Set 3.3 | Q 3.2 | Page 18

Find the cube root of the following number.

729

Practice Set 3.3 | Q 3.3 | Page 18

Find the cube root of the following number.

343

Practice Set 3.3 | Q 3.4 | Page 18

Find the cube root of the following number.

-512

Practice Set 3.3 | Q 3.5 | Page 18

Find the cube root of the following number.

-2744

Practice Set 3.3 | Q 3.6 | Page 18

Find the cube root of the following number.

32768

## Solutions for Chapter 3: Indices and Cube root

Practice Set 3.1Practice Set 3.2Practice Set 3.3

## Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 3 - Indices and Cube root

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 3 Indices and Cube root are Concept of Exponents, Meaning of Numbers with Rational Indices, Concept of Cube Number, Multiplying Powers with the Same Base, Dividing Powers with the Same Base, Taking Power of a Power, Multiplying Powers with Different Base and Same Exponents, Dividing Powers with Different Base and Same Exponents, Numbers with Exponent Zero, One, Negative Exponents, Concept of Cube Root, Cube Root Through Prime Factorisation Method.

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