]]>
LearnNext
Get a free home demo of LearnNext

Available for CBSE, ICSE and State Board syllabus.
Call our LearnNext Expert on 1800 419 1234 (tollfree)
OR submit details below for a call back

clear

Exponents

96,005 Views
Have a doubt? Clear it now.
live_help Have a doubt, Ask our Expert Ask Now
format_list_bulleted Take this Lesson Test Start Test

Exponents - Lesson Summary

      Exponent:
A number that represents how many times the number is multiplied by itself is known as exponent.

A given numbers can be expressed in standard as well as usual form.

Size of a plant cell = 0.00001275 m ← USUAL FORM

Standard Form
Any number expressed as a decimal number between 1.0 and 10.0, including 1.0 multiplied by a power of 10 is said to be in its Standard Form.

Standard Form= 1.275 x 10 -5m.

Negative integral exponent
 a -m =   1 a m    Where, m is a positive integer and a -m  is called the multiplicative inverse of a m .

Negative exponents can be used to express very small numbers.

Exponents to express small numbers in standard form
1) Take the number and see whether the number is between 1 and 10 or less than 1.

2) If the number is between 1 and 10 write it product of the number it self.

3) If the number is less than one then move the desimal point to the right so that there is just one digit on the left side of the desimal point.

4) Write the given number as the product of the number so obtained and 10-n, where n is the number of places where the desimal point has been moved to the right.

5) The number so obtained is the standard form.

For any non-zero integers a and b we have,

Laws of exponents

1. a m x a n = a m + n   
2. a m / a n = a m-n 
3. (a m) n = a mn  
4. a m x b m = (ab) m 
5. a m/b m = (a/b) m
6. a 0 = 1 .
Here m and n are integers.

Comments(0)

Feel the LearnNext Experience on App

Download app, watch sample animated video lessons and get a free trial.

Desktop Download Now
Tablet
Mobile
Try LearnNext at home

Get a free home demo. Book an appointment now!

GET DEMO AT HOME