#### Chapters

Chapter 2: Parallel lines and transversals

▶ Chapter 3: Indices and Cube root

Chapter 4: Altitudes and Medians of a triangle

Chapter 5: Expansion formulae

Chapter 6: Factorisation of Algebraic expressions

Chapter 7: Variation

Chapter 8: Quadrilateral : Constructions and Types

Chapter 9: Discount and Commission

Chapter 10: Division of Polynomials

Chapter 11: Statistics

Chapter 12: Equations in one variable

Chapter 13: Congruence of triangles

Chapter 14: Compound interest

Chapter 15: Area

Chapter 16: Surface area and Volume

Chapter 17: Circle : Chord and Arc

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## 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.

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

Express the following number in index form.

Fifth root of 13

Express the following number in index form.

Sixth root of 9

Express the following number in index form.

Square root of 256

Express the following number in index form.

Cube root of 17

Express the following number in index form.

Eighth root of 100

Express the following number in index form.

Seventh root of 30

Write in the form 'n^{th} root of a' in the following number.

(81)^{1/4}

Write in the form 'n^{th} root of a' in the following number.

`49^(1/2)`

Write in the form 'n^{th} root of a' in the following number.

`(15)^(1/5)`

Write in the form 'n^{th} root of a' in the following number.

`(512)^(1/9)`

Write in the form 'n^{th} root of a' in the following number.

`100^(1/19)`

Write in the form 'n^{th} root of a' in the following number.

`(6)^(1/7)`

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

Write the following number in the form of rational indices.

Square root of 5th power of 121

Write the following number in the form of rational indices.

Cube of 4th root of 324

Write the following number in the form of rational indices.

5th root of square of 264

Write the following number in the form of rational indices.

Cube of cube root of 3

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

Simplify:

`root(3)(27/125)`

Simplify:

`root(3)(16/54)`

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

Find the cube root of the following number.

8000

Find the cube root of the following number.

729

Find the cube root of the following number.

343

Find the cube root of the following number.

-512

Find the cube root of the following number.

-2744

Find the cube root of the following number.

32768

## Solutions for Chapter 3: Indices and Cube root

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

Shaalaa.com has the Maharashtra State Board Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board 3 (Indices and Cube root) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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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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