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attashe74 [19]
3 years ago
6

HELP PLEASE! :) What is the difference between COMBINING LIKE TERMS and using PROPERTIES OF EXPONENTS?

Mathematics
2 answers:
KiRa [710]3 years ago
5 0

Answer:

Combine terms with the same variable and the same exponent

Step-by-step explanation:

remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtracting them, depending on the operation they have attached to them. Terms with exponents work exactly the same way! hope this helps you  :)

lozanna [386]3 years ago
4 0

Answer:

Combining like terms is just that, combining numbers in an equation that have the same property. examples would be constants or numbers with the same exponent.

Properties of exponents are when you multiply, add, subtract, or divide exponents.

I hope I helped!

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svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
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3 years ago
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