Table of Contents
Table of Contents
- Power Law of Exponents
– Importance of Parenthesis
- Summary
- What’s Next?
In the previous segment, we learnt about the Quotient law of exponents. In this segment, we will learn about the Power law of 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 = 32×4 = 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
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.