Class 7 Exponents 06 – Power Law

NCERT Solutions of Class 7 Exponents 06 – Power Law

Exponents 06 – Power Law

In the previous segment, we learnt about the Quotient law of exponents. In this segment, we will learn about the Power law of exponents.

Table of Contents

• Power Law of Exponents -Importance of Parenthesis
• Summary
• What’s Next?
• solved examples on exponents

What is the Power law of exponents?

The Power law of exponents states that,

For any non-zero integer a, (?^?)^? = ?^??,where m and n are integers.

For example,

(3²)⁴ = 3^2×4 = 3⁸.

Importance of parenthesis

An important point of the power law is the use of the parenthesis.

Consider two numbers, (22)3 and ²³

2 .

In the first number, we can use the power law and write it as (2²)³ = 2⁶.

In the second number, the base is 2 and the exponent is 2³ = 8. So we write the number as

2⁸.

Due to the use of brackets, the first number is read as ‘2 raised to 2, the whole raised to 3’. While the second number is read as ‘2 raised to 2 raised to 3’.

Summary: Class 7 Exponents 06 – Power Law

Power Law of Exponents

For any non-zero integer ‘a’, where ‘m’ and ‘n’ are whole numbers, (??)? = ???

What’s next?

In the next segment of Class 7 Maths, we will learn about the Power of product and Power of quotient property.