Exponents 07 – Power of Product/Quotient

Table of Contents

• Power of Product Property
• Power of Quotient Property
• Summary
• What’s Next?

In the previous segment, we learnt about the Power law of exponents. In this segment, we will learn about the Power of product and the Power of quotient properties.

What is the Power of product property?

For non-zero integers a and b, (? × ?)^? = ?^? × ?^?, where m is an integer. For example,

(2 × 3)² = 2² × 3².

The term (? × ?)^? is read as a raised to b the whole raised to m.

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

What is the Power of quotient property?

For non-zero integers a and b, (? ÷ ?)^? = ?^? ÷ ?^?, where m is an integer. For example,

(2 ÷ 7)² = 2² ÷ 7².

The term (? ÷ ?)^? is read as a divided by b the whole raised to m.

Summary

Power of Product Property	For non-zero integers a and b, (? × ?)? = ?? × ??,where m is an integer.
Power of Quotient Property	For non-zero integers a and b, (? ÷ ?)? = ?? ÷ ??,where m is an integer.

What’s next?

In the next segment of Class 7 Maths, we will learn about Place value.

Also Read: Difference Between Power and Exponent