NCERT Solutions for Class 8 Maths Chapter 12:Exponents and Powers

In the chapter named Exponents and Powers, students learn various ideas incorporating powers with negative exponents, laws of exponents, utilisation of exponents to communicate the numbers in standard form and comparison of incredibly enormous numbers with little numbers. The chapter comprises two exercises to assist the students with learning the topics of Exponents and Powers.

Powers and Exponents
The power of a number indicates that the number of times it must be multiplied. It is written in the form of ab, where 'b' indicates the number of times 'a' needs to be multiplied to get our end result. Here, 'a' is called the base, and 'b' is called the exponent.

Powers with Negative Exponents
A reciprocal of the power is basically a negative exponent in power for any non-integer.

Visualising Powers and Exponents
In the form of shapes and figures, the powers of numbers can easily be visualised.

Variables and Constants
A constant is a certain value or number that never shows signs of change in an expression, and it's constantly the same. A variable is a letter representing some obscure value.

Expanding a Rational Number Using Powers
With the help of exponents, a given rational number can be expressed in expanded form.

Laws of Exponents

• Exponents with like Bases
• Power of a Power
• Exponents with Unlike Bases and Same Exponent

Inter Conversion between Standard and Normal Forms
Huge numbers of tiny numbers can be represented in the standard form with the help of exponents.

Comparison of Quantities Using Exponents
We alter them to their standard exponential form to compare two large or small quantities and divide them.