Question

algebra 2 help

Answer 1

@ganeshie8

Answer 2

i need the work for all 4

Answer 3

and the properties

Answer 4

basically you need to show that all four expressions give the same answer

Answer 5

lets simplify them and see

Answer 6

\(\huge \sqrt[3]{x^3}\)

Answer 7

if i dont answer, im away for a sec, ok?

Answer 8

do you wanto to understand how to do this, or u want get it done, and not bother about it ?

Answer 9

understand

Answer 10

sure ? :)

Answer 11

yea

Answer 12

good :)
il be here, when u are back.. just let me knw

Answer 13

for simplifying first expression, we will be using below exponent property :-
\(\huge \color{red}{\sqrt[n]{a^m} = a^{\frac{m}{n}}}\)

Answer 14

yea im back it was just a min

Answer 15

okiee goo dto have u back lol :D

Answer 16

so.. x ^ 3/3 ?

Answer 17

use that prop above, and see if u can simplify first expression...

Answer 18

yes !!

Answer 19

\(\huge \sqrt[3]{x^3} = x^{\frac{3}{3}} = ? \)

Answer 20

so. x^1 ?

Answer 21

\(\huge \sqrt[3]{x^3} = x^{\frac{3}{3}} = x^1 = ? \)

Answer 22

umm.. x?

Answer 23

\(\huge \sqrt[3]{x^3} = x^{\frac{3}{3}} = x^1 = x \)

Answer 24

Next, simplify second expression

Answer 25

btw 2 is product of a power property

Answer 26

Yup :)

for 2, we will be using this

\(\huge \color{Red}{ a^m \times a^n = a^{m+n} } \)

Answer 27

i think i know it

Answer 28

\(\huge x^{\frac{1}{3}} . x^{\frac{1}{3}} . x^{\frac{1}{3}} = x^{(\frac{1}{3} + \frac{1}{3} + \frac{1}{3}} = ? \)

Answer 29

i just wrote that was about to put it

Answer 30

x^ 3/3

Answer 31

i bet u knw it,,, u r a genius ;)

Answer 32

which is x^1 = x

Answer 33

lol

Answer 34

ok idk the property for 3

Answer 35

\(\huge x^{\frac{1}{3}} . x^{\frac{1}{3}} . x^{\frac{1}{3}} = x^{(\frac{1}{3} + \frac{1}{3} + \frac{1}{3})} = x^{\frac{3}{3}} = x^1 = x \)

Answer 36

k wrote it

Answer 37

yea 3 looks tricky...

Answer 38

for 3, we use this prop :-

\(\huge \color{red}{a^{-m} = \frac{1}{a^m}}\)

Answer 39

but whats it called

Answer 40

we use that for the bottom, and see wat we get...

Answer 41

\(\huge \frac{1}{x^{-1}} = ?\)

Answer 42

x^1?

Answer 43

which is x?

Answer 44

oh you want name for the prop, let me think..

Answer 45

yea i have to write the names

Answer 46

\(\huge \frac{1}{x^{-1}} = \frac{1}{\frac{1}{x}} = \frac{x}{1} = x\)

Answer 47

look what i found:

Answer 48

it can also be:

Answer 49

1/ a^-2 = a^2

Answer 50

yup ! we cud have used that aswell wat its name ?

Answer 51

it doesnt say :(

Answer 52

http://tutorial.math.lamar.edu/Classes/Alg/IntegerExponents.aspx#Int_Props the blue part

Answer 53

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Properties%20of%20Exponents.pdf

Answer 54

there's names in my lesson.. but i dont see this one

Answer 55

i mean properties

Answer 56

its called "Negative Exponent" property

Answer 57

yay

Answer 58

k #4

Answer 59

#4 looks like it has a typo in it ?

Answer 60

where?

Answer 61

wait a sec, check ir second expression once

Answer 62

what

Answer 63

btw im talking about the last expression

Answer 64

name of property for 2nd expression is "Product of Like Bases"

Answer 65

\[\sqrt[11]{x^5gx^4gx^2}\]

Answer 66

oohh

Answer 67

but thats not what it says in my lesson..

Answer 68

yeah @phi 4 has a typo

Answer 69

what is it?

Answer 70

oh, ok you better use watever name it says in ur lesson :)

Answer 71

the g's don't go away.... so you won't get just "x"

if they had \( g \cdot g^{-1} \) it would work

Answer 72

should i just email my teacher that?

Answer 73

definitely

Answer 74

ok

Answer 75

thnx guys

Answer 76

np :)