Question

Part A: Use the properties of exponents to explain why 64 raised to the power of 1 over 2 is called the square root of 64.

Part B: The length of a rectangle is 7 units and its width is square root of 7 unit. Is the area of the rectangle rational or irrational? Justify your answer.

Answer 1

@AccessDenied @azolotor @asatt32 @asher1027 @Ashy98 @animefreakdesu @bbcream14 @whpalmer4 @timo86m @thomaster @Ellia201 @theEric @Yvlotde900 @iPwnBunnies @NaomiBell1997 @walkingdeadxx

Answer 2

what are you suposed to do?

Answer 3

well i dont get it why is it called the square root of 64

Answer 4

for Part A

Answer 5

ummm hmmmm i dont no this one im so sorry tho that i could not help

Answer 6

could you fan me

Answer 7

@whpalmer4 @wagnermar @warmachine68 @walkingdeadxx @Whitemonsterbunny17 @esshotwired @Evictu_FB @Ellia201 @Emllyk @escapeshipshape @eifhbiew @escapeshipshape @freakenpurplepizza @FaithSmith5 @fishfry @Faraaz @gianna @GabrielleL. @girl_things @Hero

Answer 8

o.O

Answer 9

i know the rational exponent has to do with it for Part A but i still dont get it

Answer 10

SCREW YOU MATH AAAAAAAAAAAHHHHHHHHHHHHHHHHHH

Answer 11

YES IKR

Answer 12

UHHHHHHHH

Answer 13

I sound so nerdy

Answer 14

so any advice?

Answer 15

idk :'(

Answer 16

man like once they read my question POOF everyone left

Answer 17

its ok

Answer 18

o.o i hate meth ill give u a ink 2 answer

Answer 19

hmmmm @TheOcean @Whitemonsterbunny17 @ElvenBlackout

Answer 20

https://ca.answers.yahoo.com/question/index?qid=20140220085802AADffsP

Answer 21

thx @bbcream14 and @Emllyk

Answer 22

your welcome :)

Answer 23

how about Part B

Answer 24

http://openstudy.com/study#/updates/525c30cfe4b002bdb0906dd3

Answer 25

http://openstudy.com/study#/updates/53147f4ee4b016ae565ae52e

Answer 26

and @wagnermar thx for staying and trying to understand

Answer 27

its hard for everyone

Answer 28

:)

Answer 29

no problemo :)

Answer 30

you guys are so awesome i fanned all of you @Emllyk @wagnermar @Whitemonsterbunny17 @bbcream14

Answer 31

Lol thanx!! You're awesome tooooo!!!!! :D

Answer 32

But I suck at math, so I can't really help much on this question lol :p

Answer 33

its ok

Answer 34

anyways i can always ask you for another thing

Answer 35

Yes, ofc!! (:

Answer 36

ok let me close his and give you another one simpler

Answer 37

lol okeh :p

Answer 38

"Use the properties of exponents to explain why 64 raised to the power of 1 over 2 is called the square root of 64. "

\[64^{1/2} = \sqrt{64}\]The reason for this is simple. When we multiply exponential expressions with the same base, we keep the base and add the exponents:

\[u^n*u^m = u^{n+m}\]

Now, the square root of a number \(x\) can be defined as \[a = \sqrt{x}\]where \(a*a = x\) That means the square root is a number which multiplied by itself gives you the number of which you took the square root.

Let's take that definition and square both sides of it (multiply each side by itself):
\[a*a = \sqrt{x}*\sqrt{x}\]or \[a^2 = \sqrt{x}*\sqrt{x}\]

Now, we can also write \(x = x^1\) by the properties of exponents, as every number without an exponent is assumed to have an exponent of 1.

If \(a\) is the square root of \(x\), and \(a^2=x^1\), that means that to multiply those square roots together in exponential form (where the base is \(x\), the exponents must be such that they are equal and add to 1. The only way that is possible is if the exponent is \(1/2\), or \[\sqrt{x} = x^{1/2}\]Then when we multiply them together as we square both sides of \[a=x^{1/2}\]we get\[a^1*a^1 = x^{1/2}*x^{1/2}\]\[a^{1+1} = x^{1/2+1/2}\]\[a^2 = x^1\]

Squaring as a term comes from what you do when you find the area of a square: you multiply the length by the width, and both are identical.