Laws Of Exponent
Chapter Name : Exponent And Powers |
Sub Topic Code : 104_08_12_03_01 |
Topic Name : Laws Of Exponent |
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Sub Topic Name : Laws Of Exponent |
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Introduction
am+n = am x an , am/an = am-n
Pre-Requisites:
Exponents basics
Activity:
This law is specifically useful when you wish to perform addition & subtraction operations on numbers with large negative powers. For Ex: To add the weights of electrons
Real Life Question:
These Laws assist in solving real life problems related to exponents easily
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Verify the laws for any no. of values. How do the negative sign influence the law? Should there be a restriction on m & n? |
Real life uses :
Population calculation is very critical for many purposes-like supply of food, water and other commodities. Future population is determined with the help of exponential functions & to carry out operations on these, laws are needed
Practical examples around us
| Examples | Explainations |
|---|---|
| Banks | Banks use laws of exponents to calculate interests on the money borrowed by their customers |
What you learn in Theory:
am+n = am x an, am-n = am/an Where… m & n are inetegers . a is a non-zero integer
What you learn in Practice:
The laws of exponents which were valid for large numbers are applicable to very small no.s including negative no.s which we come across pretty often in scientific applications