Chapter 13 Exponents and Powers Class 7 Notes Maths

Chapter 13 Exponents and Powers Class 7 Notes Maths is provided here that will be helpful in developing techniques and methods to understand the chapter in a efficient way. These Class 7 Revision notes will be make sure that a student has understood the specifics of every chapter in clear and precise manner. It will ensure that remembering and retaining the syllabus more easy and efficient. Also, NCERT Solutions for Class 7 Chapter 13 Maths that will be useful in the preparation of exams.

Exponents

• Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. For example, 10, 000 = 10 × 10 × 10 × 10 = 10⁴.

Laws of Exponents

Multiplying Powers with the Same Base

• For any non-zero integer a and whole number m and n, a^m × aⁿ = a^m+n

Dividing Powers with the Same Base

• For any non-zero integer a and whole number m and n (m>n), a^m ÷ aⁿ = a^m-n

Taking Power of a Power

• For any non-zero integer a and whole number m and n, (a^m)ⁿ = a^mn

Multiplying Powers with the Same Exponents

• For any non-zero integers a and b and whole number m, a^m × b^m = (ab)^m

Dividing Powers with the Same Exponents

• For any non-zero integers a and b and whole number m, a^m ÷ b^m = a^m/b^m = (a/b)^m

Expressing large numbers in the standard form

• Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10. Such form of a number is called its standard form or scientific notation. For example: Speed of light in vacuum = 300000000 m/s = 3.0 × 10⁸ m/s.