Properties for exponents, Mathematics

Assignment Help:

The next thing that we must acknowledge is that all of the properties for exponents. This includes the more general rational exponent that we haven't looked at yet.

Now the properties of integer explore are valid for this section also then we can see how to deal with the more general rational exponent. In fact there are two different ways of dealing along with them as we'll see.  Both of the methods involve via property 2 from the previous section.  For reference reason this property is,

                                                                  (an )m  = anm

Thus, let's see how to deal along with a general rational exponent.  First we will rewrite the exponent as follows.

                                                  b m /n   = b(1/n) (m)

In other terms we can think of the exponent like a product of two numbers.  We will now use the exponent property illustrated above.  Though, we will be using it in the opposite direction than what we did in the earlier section.  Also, there are two ways to do it.  Here they are following,

b m /n  = ( b 1/n )          Or                             b m/ n   =(bm )1/n

By using either of these forms now we can evaluate some more complicated expressions


Related Discussions:- Properties for exponents

Draw tangent graph y = tan ( x ), Graph y = tan ( x ). Solution In...

Graph y = tan ( x ). Solution In the case of tangent we need to be careful while plugging x's in since tangent doesn't present wherever cosine is zero (remember that tan x

Calculate the area and circumference of a circle, Calculate the area and ci...

Calculate the area and circumference of a circle: Calculate the area and circumference of a circle with a 3" radius.  Solution: A =      πr2

Objectives of ones tens and more, Objectives After studying this unit, ...

Objectives After studying this unit, you should be able to 1.  evolve and use alternative activities to clarify the learner's conceptual 2.  understanding of ones/tens/hu

Craig D, i need help in discrete mathematics on sets, relations, and functi...

i need help in discrete mathematics on sets, relations, and functions.

Standard normal distribution, Q. Describe Standard Normal Distribution? ...

Q. Describe Standard Normal Distribution? Ans. The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a sta

Linear programming, Consider the following linear programming problem: M...

Consider the following linear programming problem: Min (12x 1 +18x 2 )             X 1 + 2x 2 ≤ 40             X 1 ≤ 50             X 1 + X 2 = 40             X

Wit tester., two fathers and two sons went fishing . they caught only 3 fis...

two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?

Determine the property of partial ordered relation, Determine the property ...

Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and  Answer: antisymmetric

Geometry, write a proof on proving triangles are congruent.

write a proof on proving triangles are congruent.

Calculate the price of the horseracing track, There are five horseracing tr...

There are five horseracing tracks in Kentucky. The Kentucky legislature allows only one track to be open at a time. How does this restriction affect the price the track can charge

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd