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Dimas [21]
1 year ago
12

Which of the following properties can be used to show that the expression 4^{\frac{5}{3}} is equivalent to \sqrt[3]{4^{5}}

Mathematics
1 answer:
pantera1 [17]1 year ago
6 0

Answer:

see below

Step-by-step explanation:

Not knowing what properties you have to choose from, it'll be one that looks like  a^{\frac{m}{n}}=\sqrt[n]{a^{m}};

The base (a) stays the same;

the Numerator in the exponent is the exponent on the base;

and the Denominator in the exponent is the index (root number) of the radical.

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Answer:

C

Step-by-step explanation:

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Which of the following defines inertia?
ziro4ka [17]

Long exlpination short, the answer is <em><u>A. </u></em>


Which of the following defines inertia?

<em><u>A.The tendency of an object with mass to resist a change in its motion.</u></em>

B.The tendency of mass not to resist any change in its motion.

C.The tendency of a mass-less object to resist a change in its motion.

D.The tendency of objects to speed up or slow down.

E.The tendency of an object with a weight to resist a change in its motion.


If you want to know <em><u>how </u></em>I got that answer, continue reading below. Otherwise, hope I helped!!!


---------------------

First, I think it would be wise to take a dictionary or G00GLE the definiton of Inertia. This is what I found when doing a G00GLE search:


<u>The Definition of Inertia:</u>

  • a tendency to do nothing or to remain unchanged.
  • a property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.
  • the tendency of an object to resist change in its motion


By our definitions we can definetly elliminate choice D.

Choices C and E don't seem to fit either.

I bolded the choices that don't seem to fit the definitions of Inertia.


Which of the following defines inertia?

A.The tendency of an object with mass to resist a change in its motion.

B.The tendency of mass not to resist any change in its motion.

C.The tendency of a mass-less object to resist a change in its motion.

D.The tendency of objects to speed up or slow down.

E.The tendency of an object with a weight to resist a change in its motion.


Looks like I've narrowed it down. This should make it easier.

Choices could be A. or B.


Let's go back to the definition and compare it with the remaining choices.


<u>The Definition of Inertia:</u>

  • a tendency to do nothing or to remain unchanged.
  • a property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.
  • <u>the tendency of an object to resist change in its motion</u>

Which of the following defines inertia?

<u>A.The tendency of an object with mass to resist a change in its motion.</u>

B.The tendency of mass not to resist any change in its motion.



Hold up!! It looks like the 3rd definition fits one of our choices!!

(I bolded and underlined the two similarites above)


So... The answer <em>should </em>be <em><u>A </u></em>by using process of elimination.


Which of the following defines inertia?

<em><u>A.The tendency of an object with mass to resist a change in its motion.</u></em>

B.The tendency of mass not to resist any change in its motion.

C.The tendency of a mass-less object to resist a change in its motion.

D.The tendency of objects to speed up or slow down.

E.The tendency of an object with a weight to resist a change in its motion.


Here is a clip of some information on Inertia:

Inertia is the resistance, of any physical object, to any change in its velocity. This includes changes to the object's speed, or direction of motion. Inertia comes from the Latin word, iners, meaning idle, sluggish. (Source: Wiki)


Hope I helped!!!





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Answer:

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Step-by-step explanation:

I did the test

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