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Mathematics 8 Online
OpenStudy (volleyballlover55):

PLEASE HELP :)

OpenStudy (volleyballlover55):

@satellite73

OpenStudy (volleyballlover55):

\[\frac{ 7^{4} * 7^{6} }{ 7^{8}}\]

OpenStudy (volleyballlover55):

@satellite73

OpenStudy (anonymous):

You subtract the denominator exponent from the top ones

OpenStudy (anonymous):

So 7^4 - 8 and 7^6 - 8 etc. Then you do the actual division

OpenStudy (volleyballlover55):

@Mathlete407 b?

OpenStudy (anonymous):

What's b? You never typed the answers in, since Im assuming it's multiple choice

OpenStudy (volleyballlover55):

yes it is.. let me give you the options..' 7^0 7^1 7^2 7^3

OpenStudy (anonymous):

Ohh, I'm sorry, first you add the exponents that are on the numerator together, and THEN you subtract that from the denominator exponent. Sorry that mistake. So it would be &^4 + 6 = 7^10 - 7^8 = 7^2. So it would be c

OpenStudy (anonymous):

Does that make sense? I apologize again for not reading it thoroughly at first

OpenStudy (volleyballlover55):

its ok :)

OpenStudy (volleyballlover55):

Simplify \[\frac{ 8^{-5} }{ 8^{-3} }\]

OpenStudy (anonymous):

Ok, so the only thing you need to focus on at first is the exponents, don't pay attention to the 8. So -5 - (-3). Do you know what we do when we have a negative subtracted from a negative?

OpenStudy (kittiwitti1):

\[\text{Exponential division rule: }\frac{a^{x}}{a^{y}}=a^{x-y}\]\[\frac{8^{-5}}{8^{-3}}\rightarrow?\]

OpenStudy (volleyballlover55):

8^2?

OpenStudy (anonymous):

Perfect!

OpenStudy (kittiwitti1):

Close. You messed up a bit on the exponents

OpenStudy (volleyballlover55):

\[\frac{ 1 }{ 8^{2} }\] ?

OpenStudy (kittiwitti1):

\[\frac{8^{-5}}{8^{-3}}\rightarrow8^{-5-(-3)}=8^{-2}\]Yes! :D Good job

OpenStudy (anonymous):

Actually, it would technically 5 + 3, because when we have a negative minus a negative it becomes a positive. They cancel each other out. The real answer would be 8^8

OpenStudy (volleyballlover55):

its multiple choice.. these are the options.. one divided by the quantity eight squared one divided by the quantity eight to the eighth power 8^2 8^8

OpenStudy (anonymous):

D

OpenStudy (kittiwitti1):

How does a negative minus a negative become both positive...? \[-x-(-y)\ne x+y\]

OpenStudy (anonymous):

egative Exponent Rule: , this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

OpenStudy (volleyballlover55):

right so the answer is A because 8^-2 also means 1 over 8 to the power of 2 :)

OpenStudy (volleyballlover55):

right?

OpenStudy (volleyballlover55):

i dont know yet.. i havent submitted it..

OpenStudy (volleyballlover55):

i have a few more questions before i can submit it..

OpenStudy (volleyballlover55):

Which of the following is a rational number? square root of 79, square root of 80, square root of 81, square root of 82 square root of 79 square root of 80 square root of 81 square root of 82

OpenStudy (anonymous):

8^-2 is 1/8^2, yes

OpenStudy (anonymous):

Which number above can you take the square root of leaving you with a whole number? That's what a rational number squared is

OpenStudy (volleyballlover55):

82?

OpenStudy (volleyballlover55):

?

OpenStudy (kittiwitti1):

Square roots with whole #s after solving are rational numbers

OpenStudy (kittiwitti1):

e.g. 16, root is 4; 25, root is 5; 169, root is 13

OpenStudy (kittiwitti1):

\[\text{The rule is }x\times x=y\]You're given a bunch of possible y's, now you need to find one that gives a rational x ☺

OpenStudy (volleyballlover55):

ok so 81 is correct! :)

OpenStudy (kittiwitti1):

Yes! ^_^

OpenStudy (volleyballlover55):

There are (2^6)^3 ⋅ 2^0 bacteria in a sample. What is the total number of bacteria in the sample? 2^2 2^3 2^9 2^18

OpenStudy (volleyballlover55):

so do you know the answer?

OpenStudy (kittiwitti1):

\[(2^{6})^{3}\times2^{0}\]\[\text{0 Exponent rule: }x^{0}=1\]\[(2^{6})^{3}\times2^{0}=(2^{6})^{3}\times?\]

OpenStudy (volleyballlover55):

262144

OpenStudy (kittiwitti1):

Whoa what o_o Don't move that fast aha

OpenStudy (kittiwitti1):

So what did you get from 2^0?

OpenStudy (volleyballlover55):

1

OpenStudy (kittiwitti1):

Okay so now we have (2^6)^3\[(2^{6})^{3}\text{ Exponent muliplication rule: }(x^{a})^{b}=x^{a\times b}\]

OpenStudy (volleyballlover55):

2^18

OpenStudy (kittiwitti1):

So that gets you:\[2^{6\times3}=2^{18}=262144\] Yep ^_^

OpenStudy (volleyballlover55):

so the answer is d?

OpenStudy (volleyballlover55):

Which decimal number best describes the fraction fraction 77 over 6? A terminating decimal 12.83 A repeating decimal 12.83 with a bar 3? A terminating decimal 12.82 A repeating decimal 12.82 with a bar 2

OpenStudy (kittiwitti1):

Yeah, the answer is D ☺ Sorry, I gotta go now > <

OpenStudy (volleyballlover55):

aw ok.. please come back tomorrow :)

OpenStudy (kittiwitti1):

No problem ^_^ I'll try :D

OpenStudy (volleyballlover55):

ok! :)

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