nuccioreggie
  • nuccioreggie
Which expression is equivalent to 73 ⋅ 7−5? 72 77 1 over 7 to the 2nd power 1 over 7 to the 7th power
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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nuccioreggie
  • nuccioreggie
@Michele_Laino
tkhunny
  • tkhunny
Show your work. Don't forget your Order of Operations.
anonymous
  • anonymous
So \[\large7^3*\large7^{-5}\]?

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More answers

anonymous
  • anonymous
Hello? @nuccioreggie
nuccioreggie
  • nuccioreggie
Ok 1sec
nuccioreggie
  • nuccioreggie
Yea thats the question
anonymous
  • anonymous
\[\Large7^3*\Large7^{-5}=\Large7^{3-5}\]
nuccioreggie
  • nuccioreggie
I think the answer is B
anonymous
  • anonymous
And why do you think that?
nuccioreggie
  • nuccioreggie
Idk
mathstudent55
  • mathstudent55
To multiply powers with the same base, give the same base and add the exponents. Examples: \(\large 5^8 \cdot 5^7 = 5^{8 + 7} = 5^{15} \) \(\large 3^{-5} \cdot 3^4 = 3^{-5 + 4} = 3^{-1} \)
mathstudent55
  • mathstudent55
Also, after you multiply the powers together using the rule above, you need to know what to do with a negative exponent. For that use this rule: \(\large a^{-n} = \dfrac{1}{a^n} \) Example: \(\large 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{125} \)
nuccioreggie
  • nuccioreggie
Ok i just did that and i got the answer choice
nuccioreggie
  • nuccioreggie
A
mathstudent55
  • mathstudent55
First, multiply the powers together. The base is 7. What do you get for the exponent?
mathstudent55
  • mathstudent55
What is 3 + (-5) = ?
nuccioreggie
  • nuccioreggie
-2
nuccioreggie
  • nuccioreggie
Sorry if i typee the same thing twice its not moe its my computer
mathstudent55
  • mathstudent55
Good. So far you are correct. |dw:1433878869336:dw|
mathstudent55
  • mathstudent55
Now you need to deal with the negative exponent. See my example above. A negative exponent ends up as a fraction.
nuccioreggie
  • nuccioreggie
Ohhhhh ok so its C
mathstudent55
  • mathstudent55
Correct! |dw:1433878981234:dw|
nuccioreggie
  • nuccioreggie
Ok thanks can you help me with 2 more only please
tkhunny
  • tkhunny
And let's work on that notation. 73 ⋅ 7−5 = 73*7 - 5 = 511 - 5 = 506 Find SOME way to indicate an exponent. 7^3 * 7^(-5) Perhaps.

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