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OpenStudy (lasttccasey):
Is this correct?\[(-2)^4+3 \sqrt{120}-20/4^3+|5×(-1)|\]
OpenStudy (anonymous):
Yes
OpenStudy (lasttccasey):
Okay, are you familiar with PEMDAS?
OpenStudy (anonymous):
No
OpenStudy (lasttccasey):
PEMDAS is an acronym for the order of operations. That is the order we are supposed to work math problems such as this.
P=Parenthesis
E=Exponential
M & D = Multiplication & Division
A & S = Addition & Subtraction
the M&D + A&S are to be done in order from left to right, whichever comes first.
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OpenStudy (anonymous):
Okay
OpenStudy (lasttccasey):
First step is do all parenthesis:
\[(-2)^4+3 \sqrt{120}-20/4^3+abs(5×(-1))\]\[16+3 \sqrt{120}-20/4^3+5\]
OpenStudy (lasttccasey):
Next Exponentials:
\[16+3 \sqrt{120}-20/64+5\]
OpenStudy (anonymous):
Where did 64 come from?
OpenStudy (lasttccasey):
the 4^3
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OpenStudy (anonymous):
Ok
OpenStudy (lasttccasey):
Alright then just multiple and divide from left to right. I'm also going to simplify the radical but instead of dividing 20/64 I'm just going to simplify to avoid decimals.
\[16+6 \sqrt{30}-5/16+5\]
OpenStudy (lasttccasey):
Final step is to add and subtract.
\[6\sqrt{30}+331/16\]
OpenStudy (lasttccasey):
decimal form answer: 53.55085
OpenStudy (anonymous):
Thank you
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