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Chapters
1.1: A Time to Believe
1.2: Dick Whittington and his Cat
1.3: The Pilgrim
1.4: Revathi's Musical Plants
मराठी
Chapter १: आम्ही चालवू हा पुढ़े वारसा (गीत)
२: मी चित्रकार कसा झालो!
३: प्रभात (कविता)
४: आपण सारे एक
Mathematics
1: Rational and Irrational numbers
2: Parallel lines and transversal
▶ 3: Indices and Cube root
4: Altitudes and Medians of a triangle
5: Expansion formulae
General Science
1: Living World and Classification of Microbes
2: Health and Diseases
3: Force and Pressure
4: Current Electricity and Magnetism
History
1: Sources of History
2: Europe and India
3: Effects of British rule
Civics
1: Introduction to the Parliamentary System
Geography
1: Local Time and Standard Time
2: Interior of the Earth
![Balbharati solutions for Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board chapter 3 - Indices and Cube root - Shaalaa.com](/images/integrated-8-standard-part-1-english-medium-maharashtra-state-board_6:3477e0df2c7b4c53b3bfe8f79be1f6cd.jpg "Balbharati solutions for Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board chapter 3 - Indices and Cube root")
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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 Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board.
Balbharati solutions for Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board 3 Indices and Cube root Practice Set 3.1 [Page 54]
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 'nth root of a' in the following number.
`(81)^(1/4)`
Write in the form 'nth root of a' in the following number.
`49^(1/2)`
Write in the form 'nth root of a' in the following number.
`(15)^(1/5)`
Write in the form 'nth root of a' in the following number.
`(512)^(1/9)`
Write in the form 'nth root of a' in the following number.
`100^(1/19)`
Write in the form 'nth root of a' in the following number.
`(6)^(1/7)`
Balbharati solutions for Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board 3 Indices and Cube root Practice Set 3.2 [Page 55]
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 a 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 Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board 3 Indices and Cube root Practice Set 3.3 [Page 57]
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
Simplify:
`root(3)(27/125)`
Simplify:
`root(3)(16/54)`
If `root(3)(729)` = 9 then `root(3)(0.000729) = ?`
Solutions for 3: Indices and Cube root
Balbharati solutions for Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board chapter 3 - Indices and Cube root
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Concepts covered in Integrated 8 Standard Part 1 [English Medium] 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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