Maharashtra Board Solutions Class 7-Maths (Practice Set 29): Chapter 6- Indices

Class 7: Maths Chapter 6 solutions. Complete Class 7 Maths Chapter 6 Notes.

Maharashtra Board Solutions Class 7-Maths (Practice Set 29): Chapter 6- Indices

Maharashtra Board 7th Maths Chapter 6, Class 7 Maths Chapter 6 solutions

Question 1.
Simplify:
i. \left[\left(\frac{15}{12}\right)^{3}\right]^{4}[(1512)3]4
ii. (3⁴)^-2
iii. \left[\left(\frac{1}{7}\right)^{-3}\right]^{4}
iv. \left[\left(\frac{2}{5}\right)^{-2}\right]^{-3}
v. (6⁵)⁴
vi. \left[\left(\frac{6}{7}\right)^{5}\right]^{2}
vii. \left[\left(\frac{2}{3}\right)^{-4}\right]^{5}
viii. \left[\left(\frac{5}{8}\right)^{3}\right]^{-2}
ix. \left[\left(\frac{3}{4}\right)^{6}\right]^{7}
x. \left[\left(\frac{2}{5}\right)^{-3}\right]^{2}
Solution:
i. \left[\left(\frac{15}{12}\right)^{3}\right]^{4}
=\left(\frac{15}{12}\right)^{3 \times 4}=\left(\frac{15}{12}\right)^{12}

ii. (3⁴)^-2
= 3^4×(-2)
= 3^-8

iii. \left[\left(\frac{1}{7}\right)^{-3}\right]^{4}
=\left(\frac{1}{7}\right)^{(-3) \times 4}=\left(\frac{1}{7}\right)^{-12}

iv. \left[\left(\frac{2}{5}\right)^{-2}\right]^{-3}
=\left(\frac{2}{5}\right)^{(-2) \times(-3)}=\left(\frac{2}{5}\right)^{6}

v. (6⁵)⁴
= 6^5×4
= 6²⁰

vi. \left[\left(\frac{6}{7}\right)^{5}\right]^{2}
=\left(\frac{6}{7}\right)^{5 \times 2}=\left(\frac{6}{7}\right)^{10}

vii. \left[\left(\frac{2}{3}\right)^{-4}\right]^{5}
=\left(\frac{2}{3}\right)^{(-4) \times 5}=\left(\frac{2}{3}\right)^{-20}

viii. \left[\left(\frac{5}{8}\right)^{3}\right]^{-2}
=\left(\frac{5}{8}\right)^{3 \times(-2)}=\left(\frac{5}{8}\right)^{-6}

ix. \left[\left(\frac{3}{4}\right)^{6}\right]^{7}
=\left(\frac{3}{4}\right)^{6 \times 1}=\left(\frac{3}{4}\right)^{6}

x. \left[\left(\frac{2}{5}\right)^{-3}\right]^{2}
=\left(\frac{2}{5}\right)^{(-3) \times 2}=\left(\frac{2}{5}\right)^{-6}

Question 2.
Write the following numbers using positive indices:
i. \left(\frac{2}{7}\right)^{-2}
ii. \left(\frac{11}{3}\right)^{-5}
iii. \left(\frac{1}{6}\right)^{-3}
iv. (y)^{-4}
Solution:
i. \left(\frac{7}{2}\right)^{2}
ii. \left(\frac{3}{11}\right)^{5}
iii. 6^{3}
iv. \frac{1}{y^{4}}

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Maharashtra Board Solutions Class 7-Maths (Practice Set 29): Chapter 6- Indices

Download PDF: Maharashtra Board Solutions Class 7-Maths (Practice Set 29): Chapter 6- Indices PDF

Chapterwise Maharashtra Board Solutions Class 7 Maths :

• Chapter 1- Geometrical Constructions (Practice Set 1)
• Chapter 1- Geometrical Constructions (Practice Set 2)
• Chapter 1- Geometrical Constructions (Practice Set 3)
• Chapter 1- Geometrical Constructions (Practice Set 4)
• Chapter 1- Geometrical Constructions (Practice Set 5)
• Chapter 1- Geometrical Constructions (Practice Set 6)
• Chapter 1- Geometrical Constructions (Practice Set 7)
• Chapter 2- Multiplication and Division of Integers (Practice Set 8)
• Chapter 2- Multiplication and Division of Integers (Practice Set 9)
• Chapter 3- HCF and LCM (Practice Set 10)
• Chapter 3- HCF and LCM (Practice Set 11)
• Chapter 3- HCF and LCM (Practice Set 12)
• Chapter 3- HCF and LCM (Practice Set 13)
• Chapter 3- HCF and LCM (Practice Set 14)
• Chapter 4- Angles and Pairs of Angles (Practice Set 15)
• Chapter 4- Angles and Pairs of Angles (Practice Set 16)
• Chapter 4- Angles and Pairs of Angles (Practice Set 17)
• Chapter 4- Angles and Pairs of Angles (Practice Set 18)
• Chapter 4- Angles and Pairs of Angles (Practice Set 19)
• Chapter 4- Angles and Pairs of Angles (Practice Set 20)
• Chapter 4- Angles and Pairs of Angles (Practice Set 21)
• Chapter 5- Operations on Rational Numbers (Practice Set 22)
• Chapter 5- Operations on Rational Numbers (Practice Set 23)
• Chapter 5- Operations on Rational Numbers (Practice Set 24)
• Chapter 5- Operations on Rational Numbers (Practice Set 25)
• Chapter 6- Indices (Practice Set 26)
• Chapter 6- Indices (Practice Set 27)
• Chapter 6- Indices (Practice Set 28)
• Chapter 6- Indices (Practice Set 29)
• Chapter 6- Indices (Practice Set 30)
• Chapter 7- Joint Bar Graph (Practice Set 31)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 32)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 33)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 34)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 35)
• Chapter 8- Algebraic Expressions and Operations on them (Practice Set 36)
• Chapter 9- Direct Proportion and Inverse Proportion (Practice Set 37)
• Chapter 9- Direct Proportion and Inverse Proportion (Practice Set 38)
• Chapter 9- Direct Proportion and Inverse Proportion (Practice Set 39)
• Chapter 10- Bank and Simple Interest (Practice Set 40)
• Chapter 10- Bank and Simple Interest (Practice Set 41)
• Chapter 11- Circle (Practice Set 42)
• Chapter 11- Circle (Practice Set 43)
• Chapter 12- Perimeter and Area (Practice Set 44)
• Chapter 12- Perimeter and Area (Practice Set 45)
• Chapter 12- Perimeter and Area (Practice Set 46)
• Chapter 12- Perimeter and Area (Practice Set 47)
• Chapter 13- Pythagoras Theorem (Practice Set 48)
• Chapter 13- Pythagoras Theorem (Practice Set 49)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 50)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 51)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 52)
• Chapter 14- Algebraic Formulae - Expansion of Squares (Practice Set 53)
• Chapter 15- Statistics (Practice Set 54)
• Chapter 14- Statistics (Practice Set 55)