NCERT Maths Solutions Class 8 Exponents and Power

NCERT Maths Solutions Class 8 Exponents and Power,class 8 maths

NCERT Maths Solutions Class 8 Exponents and Power

Class 8 Maths: Chapter 12 Exponents and Power

Takshila Learning aims to bring subject matter expert to its students anytime and anywhere without wastage of time. Takshila Learning offers the best subject matter designed for Class 8 Maths along with the CBSE NCERT solutions under the guidance of our expert team. We focused to design the entire syllabus for 8th Class in easy to understand manner. Now, we will proceed to discuss the Exponents and Power from Class 8 Maths.

An Exponent stands for how many times the number is multiplied. We have studied in previous Class‘how to write large numbers using exponents’. It involves two numbers a and b where a is base and b is the exponent.

Mass of earth is 5,970,000,000,000,000,000,000,000 kg, which can be written as 5, 97 x 10 24 .

10 24 can be read as 10 raised to the power 24.

Now, we will find what is 2-2  is equal to?

Powers with negative exponents

We know that 10 2  = 10 x 10=100

As the exponents decrease by 1 the value becomes one-tenth of the previous value.

10 1 =100/10=10

10 0 =10/10=1

10 -1 =1/10

10 2 =1/100

So, by observing the above pattern we can say that any integer a which is non -zero, a  -m =1/ a  m , where m is a positive integer.

-m Is the multiplicative inverse of a  m .

Laws of exponents

We know that for any non-zero integer a,a  m x a  n =a  m+n
Example : -3 -4 x -3 -3 = 1/-3 4+3 = -3 -7

-7 is the sum of exponents -4 and -3

Below mentioned laws also holds true, where a and b are non-zero integers and m, n are integers.
1. a  m /a  n = a  m-n
2. (a  m ) x n = a  m x n
3. a  m x b  n = ab  m
4. a  m /a  n = a /b m
5. a 0 = 1

Note: -a n = 1 only if n=0. This will work for any an except a=1 or a=-1
Use of exponents to express small numbers to standard forms

Let’s observe a few cases as below:
• The distance from the earth to the sun is 149,600,000,000m.
• The thickness of the storybook is 20mm.
• Human hair thickness is 0.005 cm to 0.01 cm.
• The height of Mount Everest is 8848 m
• The average diameter of a red blood cell is 0.000007 mm
• The average radius of the Sun is 695000 km
• The thickness of a piece of paper is 0.0016 cm
Out of the above, few can be read very easily, there are some very large numbers and some very small numbers.
Let’s convert 0.000007 mm in the standard form
0.000007=7/10000000=7/10 6 = 7 x 10 -6 negative exponents.

NCERT Maths Solutions Class 8 very small numbers can be expressed in standard form using exponents.For any further questions related to this chapter, please visit online classes for Class 8.

Our team works regularly to keep the CBSE NCERT solutions and sample papers available to visit Class 8th online classes will enable you to review the complete subject matter for Class 8 designed by the experts.

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