Is the answer B? I have to simplify. PICTURE BELOW WILL MEDAL :)

- lisa2345

Is the answer B? I have to simplify. PICTURE BELOW WILL MEDAL :)

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- lisa2345

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- UsukiDoll

yes it is B

- lisa2345

wait can you stay for more?

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## More answers

- UsukiDoll

depends on the question...if it's easy... no problem

- lisa2345

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- lisa2345

this is kinda tricky I think its A or B im not sure

- UsukiDoll

well we need the exponent laws for \[\frac{a^m}{a^n} \rightarrow a^{m-n}\] take it one at a time. for example if we have a = y, m = 5 and n = 3, we have \[\frac{y^5}{y^3} \rightarrow y^{5-3}\]

- UsukiDoll

what is 5-3?

- lisa2345

2

- UsukiDoll

yes so you have \[y^2 \]. Now do the same thing for the z exponent

- lisa2345

z6

- lisa2345

Z^6

- UsukiDoll

yes so your answer is \[y^2z^6\]

- lisa2345

why isn't a fraction?

- lisa2345

why isnt it a fraction*

- UsukiDoll

we have positive exponents, so there's no denominator... if you have a negative exponent like \[a^{-n} \rightarrow \frac{1}{a^n}\] then we need to rewrite it. Negative exponents are usually not allowed.

- lisa2345

thats how the next one looks hold up Im going to post it

- UsukiDoll

ok..
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side.

- UsukiDoll

I just use the elevator rule.. whenever the negative exponent is on the numerator it goes down to the denominator... when there is a negative exponent on the denominator it goes up to the numerator.

- lisa2345

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- lisa2345

my teacher said there shouldnt be any negative exponent in my final answer

- UsukiDoll

\[\frac{a^m}{a^n} \rightarrow a^{m-n}\] only this time we have a y = x, m = -5, and n = 9
so we have
\[\frac{x^{-5}}{x^9} \rightarrow x^{-5-9}\]
so what is -5-9 ?

- lisa2345

-14

- UsukiDoll

yes but due to the fact that negative exponents aren't allowed we need to rewrite is as
\[\frac{1}{x^{14}}\]
We define a number with a negative exponent
\[a^{-n} = \frac{1}{a^n}\]
It is the reciprocal of that number with a positive exponent
The \[a^{-n}\] is the reciprocal of \[a^n \]

- lisa2345

I'm going to post the last 4, im going to answer the next one tell me if im wrong

- lisa2345

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- lisa2345

is it A?

- UsukiDoll

no

- lisa2345

its B

- UsukiDoll

\[\frac{a^m}{a^n} \rightarrow a^{m-n} \] (exponent law)
a = b, m =-2 n = -6.
what's -2-6 ?

- UsukiDoll

wait hold on.. I messed up . x.x

- UsukiDoll

-2-(-6)

- lisa2345

4 lol

- UsukiDoll

first one was right sorry sorry ^^

- lisa2345

oh I got it right?

- lisa2345

its A?

- UsukiDoll

yeah because I neglected something

- lisa2345

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- lisa2345

heres where it gets harder 2 more after this one by the way

- UsukiDoll

weeeeee distributing exponents...

- UsukiDoll

it's either write the whole fraction 7 times and add the exponents one by one or just distribute the exponent on x and y which is must faster

- lisa2345

so its D?

- UsukiDoll

it's like we have x or x to the first power... \[(x^1)^7 \rightarrow (x^{(1)(7)})\] yes it is

- lisa2345

it is D or no?

- UsukiDoll

it's D

- lisa2345

okay 1 more after this one :)

- lisa2345

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- lisa2345

is it B?

- UsukiDoll

no.. because you are distributing the 5
distribution is multiplication . the 3 and the z portion is right for B but not x

- lisa2345

so its A because of 2 times 5?

- lisa2345

??

- UsukiDoll

oh yeah... sorry I was trying to prove something to another user... it is A because you are distributing the exponent 5 all over the entire problem so you should have 3^5 x^(2)(5)/z^5

- UsukiDoll

and 2 x 5 = 10

- lisa2345

heres the last one

- lisa2345

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- UsukiDoll

I'll give a hint: all of them switch places thanks to the distribution of the negative. whatever is on the numerator goes to the denominator and whatever is on the denominator goes on the numerator.

- lisa2345

D?

- UsukiDoll

no... the -4 wasn't distributed on the 3 and when you have a problem like this you need to distribute everything.. all the numbers and variables have that distribution .

- lisa2345

okay

- lisa2345

C?

- UsukiDoll

yes

- lisa2345

thank you so so much, are you going to be online still in like 8min?

- UsukiDoll

because of the -4 which is already a negative exponent 3^(-4)x^(-4) goes down and y^(-4) goes up

- UsukiDoll

I think I should still be there... on os

- lisa2345

theres another math homework I need help with so ill get back to you in a bit :) thank you by the way

- UsukiDoll

ok :)

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