laws of indices

😋read



 Laws of indices

Example:  a)8=2*2*2=2^3      b)a*a*a*a*a*a=a^6    c)625=25*25=25^2

     d)81=3*3*3*3=3^4   e)c*c*c=c^3.  

Every unit highlighted in red above. Is said to be in its index form. A form where it possesses a base digit and a power digit.

These are instances  of some units in their index form.

  • 2^-3

  • 3^a

  • a^c

  • d^0.5

    We begin from the first to the last law of indices as written below:👇👇 

1.

MULTIPLICATION LAW;

a^b *a^c= a^(b+c)

2^3*2^2=2^(3+2)=2^5=32

to confirm; 2^3*2^2=(2*2*2)*(2*2)=8*4=32

note carefully,

this can only be made possible if both bases are equal

a^b*d^c = (ad)^b+c

2.

DIVISION LAW;

a^b /a^c= a^(b-c)

2^3/2^2=2^(3-2)=2^1=2

provided there is an absence of an unequal base

3.

zero index LAW;

a^0= 1;        provide a is not the same as zero(0)

2^0=1,f^0=1,(w^5)^0=1

4.

Negative index LAW;

a^-b=1/(a^b)

2^-3=1/(2^3)=1/8

(2/5)^-1=5/2

5.

Fractional index LAW;

a^b/c= c root[(a)^b] = [ c root (a) ]^b

6.

Power law;

(ab)^c=a^c.b^c

(2a)^2=2^2.a^2=(4)(a^2)=4a^2

I created a  YouTube video on the topic.watch below

for better understanding,watch video on the laws of indices full tutorial;



follow blog,share and be sure to comment about the post



 


Location: England, UK

Comments

Post a Comment

popular posts

Kinetic Theory of matter

Image
kinetic theory of matter structure of matter: (a) E vidence that matter is made up of tiny indivisible particles[called ATOM S ],can be traced back to the time of the ancient Greeks.According to Sir John Dalton's theory in 1810.HE postulated that ATOMS can neither be created nor destroyed and are the smallest particle that cannot be broke down. The highlighted clause above indicates that it can be gotten from any substance[yam,paper,wool,metal,can] by the continually breaking into small bits until it cannot be broken down again.this tiny was named atom.The atomic theory of matter states that all matter[Gas,Solid,Liquid,...] are made up of atom which are constantly moving about a mean fixed point. The experiment of atomic structure is the Brownian motion[movement] performed by Scottish biologist Robert brown in 1827,where he looked under a microscope and observed the motion of particle of pollen grains suspended in water.This was an unintentional discovery by Robert,Whom he notice...
Read more

measurements and unit (part 1)

Image
 ðŸ˜œread Measurement And Units Physics is based on measurement of physical quantities.Certain physical quantities have been chosen as base quantities (such as length, time, and mass); each has been defined in terms of a standard and given a unit of measure (such as meter,second, and kilogram). Other physical quantities are defined in terms of the base quantities and their standards and units.   Measuring Things We discover physics by learning how to measure the quantities involved in physics . Among these quantities are length, time, mass, temperature, pressure, and electric current. We measure each physical quantity in its own units, by comparison with a standard. The unit is a unique name we assign to measures of that quantity—for example, meter (m) for the quantity length. The standard corresponds to exactly 1.0 unit of the quantity. As you will see, the standard for length, which corresponds. Classification of physical quantities(derived and fundamental or base quanti...
Read more