Which expressions are equivalent to the one below? Check all that apply.
10x
A. 50x/5x
B. 10 • 10x - 1
C. 10 • 10x + 1
D. 50x/5
E. (50/5)x
F. x5

- anonymous

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- anonymous

Imagine if the variable x were to be equivalent to 1 or 2. Input that into 10x (giving you 10 or 20) then try that same method on the answer choices and the answer will be the one that matches your 10x :)

- anonymous

but three are correct

- Australopithecus

It says, Check all that apply.
that means there are more than one right answer

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## More answers

- Australopithecus

Which ones do you think are correct?

- anonymous

a, d, and e?

- Australopithecus

\[\frac{x}{x} = 1\]

- Australopithecus

do you follow?

- anonymous

no.. i don't get these

- mLe

a number divided by itself would be 1
so x/x would become 1 times what ever else was attached to it
and there would be no x left ("a" cough)

- Australopithecus

Well you are mostly right.
You seem to get this :) dont be so critical.
what I am trying to say is variables divide out.
Exponent rules:
\[x^{0} = 1\]
anything to the power of 0 is equal to 1
\[x^{1} = x\]
\[x^{2} = x*x\]
\[x^{3} = x*x*x\]
etc
\[x^{a}x^{b} = x^{a+b}\]
\[\frac{x^{a}}{x^{b}} = x^{a}x^{-b} = x^{a + (-b)} = x^{a - b}\]
\[x^{-1} = \frac{1}{x^1} = \frac{1}{x}\]
\[\frac{1}{x^{-1}} = x^{1} = x\]
Examples:
\[\frac{34x^2}{x} = 34x\]
\[x^5x^3 = x^{5+3} = x^{8}\]

- Australopithecus

more examples:
anything raised to the power of 0 is 1:
\[(3 + x + 3b)^{0} = 1\]
\[\frac{(3+x)}{x+2} = (3+x)(x+2)^{-1}\]

- Australopithecus

does this help?

- anonymous

It takes me so long to comprehend math

- anonymous

do the answers have to equal the same thing?

- Australopithecus

yes

- Australopithecus

they all have to equal 10x

- Australopithecus

Look at your answers and then look at the rules I gave you

- Australopithecus

you are on the right track :)

- anonymous

so i would still go with those answers

- anonymous

i don't see why I wouldn't?

- Preetha

ThatGirl, please don't forget to rate Australopithecus so he can get his reward!

- mLe

@thatgirlaggie Reconsider choice A
50x/5x can be rewritten as (50/5)*(x/x)
as mentioned, (x/x)=1
and since 50/5 = 10
(50/5)*(x/x) would equal 10 (no x)

- Australopithecus

your answers are:
\[\frac{50x}{5x}\]
\[\frac{50x}{5}\]
\[(\frac{50}{5})x\]
Multiplication of fraction rule:
Note you can divide anything by 1 to make it into a fraction:
\[x = \frac{x}{1}\]
example:
\[62 = \frac{62}{1}\]
Multiplication of fractions rule:
\[\frac{a}{b}*\frac{b}{c} = \frac{a*b}{b*c}\]
example using both
\[\frac{52x}{3}*52 = \frac{52x}{3}*\frac{52}{1} = \frac{52x*52}{3*1}\]

- Australopithecus

I am giving you rules so you can do these problems I hope that you take the time to review them, it should help you quite a bit, note a, b an x are all just numbers

- anonymous

I'm reviewing them and I see what you're saying

- Australopithecus

But yes the answer is D and E
\[\frac{50x}{5x} = 10*x^{1-1} = 10*x^{0} = 10 \neq 10x\]

- anonymous

so because A has two x's, there are only two answers?

- Australopithecus

yes

- anonymous

i'd say d and e
and feel like an idiot now that i get it
THANK YOU!!

- Australopithecus

the x cancels out in one of them and you end up with just 10

- mLe

A has x's that cancel out which is why it does Not work :)

- mLe

Don't forget to Rate @Australopithecus for their wonderful help :)

- anonymous

how do I rate you?

- mLe

top of screen, orange box, "Rate a Qualified Helper"

- Australopithecus

Yeah algebra is pretty simple, I recommend looking up alebra rules and to look at them as you work through these problems. It should help you significantly

- anonymous

That was wrong

- anonymous

it was A, C, and E

- Australopithecus

Well they made a mistake lol

- Australopithecus

contact your instructor

- anonymous

it's a computer. Apex

- mLe

could there have been any typos in your question/options?

- mLe

perhaps the ^2 did not come through a copy paste in 50x^2/5x ?

- Australopithecus

perhaps

- Australopithecus

If that is exactly how it is written and you are being graded by this you should contact their support.

- Preetha

A,C and E can't be right. Check your question. (-:

- anonymous

what is this section of questions?

- Preetha

Great explanation Australopithecus!

- Australopithecus

Thank you Preetha

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