lisa2345
  • lisa2345
Is the answer B? I have to simplify. PICTURE BELOW WILL MEDAL :)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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lisa2345
  • lisa2345
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UsukiDoll
  • UsukiDoll
yes it is B
lisa2345
  • lisa2345
wait can you stay for more?

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More answers

UsukiDoll
  • UsukiDoll
depends on the question...if it's easy... no problem
lisa2345
  • lisa2345
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lisa2345
  • lisa2345
this is kinda tricky I think its A or B im not sure
UsukiDoll
  • 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
  • UsukiDoll
what is 5-3?
lisa2345
  • lisa2345
2
UsukiDoll
  • UsukiDoll
yes so you have \[y^2 \]. Now do the same thing for the z exponent
lisa2345
  • lisa2345
z6
lisa2345
  • lisa2345
Z^6
UsukiDoll
  • UsukiDoll
yes so your answer is \[y^2z^6\]
lisa2345
  • lisa2345
why isn't a fraction?
lisa2345
  • lisa2345
why isnt it a fraction*
UsukiDoll
  • 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
  • lisa2345
thats how the next one looks hold up Im going to post it
UsukiDoll
  • 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
  • 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
  • lisa2345
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lisa2345
  • lisa2345
my teacher said there shouldnt be any negative exponent in my final answer
UsukiDoll
  • 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
  • lisa2345
-14
UsukiDoll
  • 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
  • lisa2345
I'm going to post the last 4, im going to answer the next one tell me if im wrong
lisa2345
  • lisa2345
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lisa2345
  • lisa2345
is it A?
UsukiDoll
  • UsukiDoll
no
lisa2345
  • lisa2345
its B
UsukiDoll
  • UsukiDoll
\[\frac{a^m}{a^n} \rightarrow a^{m-n} \] (exponent law) a = b, m =-2 n = -6. what's -2-6 ?
UsukiDoll
  • UsukiDoll
wait hold on.. I messed up . x.x
UsukiDoll
  • UsukiDoll
-2-(-6)
lisa2345
  • lisa2345
4 lol
UsukiDoll
  • UsukiDoll
first one was right sorry sorry ^^
lisa2345
  • lisa2345
oh I got it right?
lisa2345
  • lisa2345
its A?
UsukiDoll
  • UsukiDoll
yeah because I neglected something
lisa2345
  • lisa2345
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lisa2345
  • lisa2345
heres where it gets harder 2 more after this one by the way
UsukiDoll
  • UsukiDoll
weeeeee distributing exponents...
UsukiDoll
  • 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
  • lisa2345
so its D?
UsukiDoll
  • UsukiDoll
it's like we have x or x to the first power... \[(x^1)^7 \rightarrow (x^{(1)(7)})\] yes it is
lisa2345
  • lisa2345
it is D or no?
UsukiDoll
  • UsukiDoll
it's D
lisa2345
  • lisa2345
okay 1 more after this one :)
lisa2345
  • lisa2345
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lisa2345
  • lisa2345
is it B?
UsukiDoll
  • 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
  • lisa2345
so its A because of 2 times 5?
lisa2345
  • lisa2345
??
UsukiDoll
  • 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
  • UsukiDoll
and 2 x 5 = 10
lisa2345
  • lisa2345
heres the last one
lisa2345
  • lisa2345
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UsukiDoll
  • 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
  • lisa2345
D?
UsukiDoll
  • 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
  • lisa2345
okay
lisa2345
  • lisa2345
C?
UsukiDoll
  • UsukiDoll
yes
lisa2345
  • lisa2345
thank you so so much, are you going to be online still in like 8min?
UsukiDoll
  • UsukiDoll
because of the -4 which is already a negative exponent 3^(-4)x^(-4) goes down and y^(-4) goes up
UsukiDoll
  • UsukiDoll
I think I should still be there... on os
lisa2345
  • lisa2345
theres another math homework I need help with so ill get back to you in a bit :) thank you by the way
UsukiDoll
  • UsukiDoll
ok :)

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