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Chapters
2: Parallel lines and transversals
▶ 3: Indices and Cube root
4: Altitudes and Medians of a triangle
5: Expansion formulae
6: Factorisation of Algebraic expressions
7: Variation
8: Quadrilateral : Constructions and Types
9: Discount and Commission
10: Division of Polynomials
11: Statistics
12: Equations in one variable
13: Congruence of triangles
14: Compound interest
15: Area
16: Surface area and Volume
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 [English] 8 Standard Maharashtra State Board.
Balbharati solutions for Mathematics [English] 8 Standard Maharashtra State Board 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 '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 Mathematics [English] 8 Standard Maharashtra State Board 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 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 Mathematics [English] 8 Standard Maharashtra State Board 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 3: Indices and Cube root
Balbharati solutions for Mathematics [English] 8 Standard Maharashtra State Board chapter 3 - Indices and Cube root
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Concepts covered in Mathematics [English] 8 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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