anonymous
  • anonymous
Product of powers property X4.x3=___x(12)___
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
Rule: \[\LARGE x^a*x^b = x^{a+b}\]
anonymous
  • anonymous
I don't get is that all
UnkleRhaukus
  • UnkleRhaukus
\[2^3=\overbrace{2\times 2\times2}^{3\text{ times}}\] \[x^a = \overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\] \[x^a\times x^b = \overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\times \overbrace{x\times x\times\cdots\times x}^{b\text{ times}}\\ \qquad\quad =\overbrace{x\times x\times\cdots\times x}^{a+b\text{ times}}\\ \qquad\quad =x^{a+b}\]

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UnkleRhaukus
  • UnkleRhaukus
\[(x^a)^b = \overbrace{\overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\times\overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\times\cdots \overbrace{x\times x\times\cdots\times x}^{a\text{ times}}}^{b\text{ times}}\\ \quad\quad= x^{a\times b}\]
anonymous
  • anonymous
So what's the answer
UnkleRhaukus
  • UnkleRhaukus
Can you write out your question again please? (it's not exactly clear)
anonymous
  • anonymous
X4•X3=__x(12)__
UnkleRhaukus
  • UnkleRhaukus
\[x^4\cdot x^3 = ?x^{12}?\]
anonymous
  • anonymous
Yes
UnkleRhaukus
  • UnkleRhaukus
what are the underscores/blanks??
UnkleRhaukus
  • UnkleRhaukus
|dw:1449203439256:dw|
UnkleRhaukus
  • UnkleRhaukus
I still don't understand your question
anonymous
  • anonymous
The 12 is (12) it's not small
UnkleRhaukus
  • UnkleRhaukus
|dw:1449203587674:dw|
anonymous
  • anonymous
Yeah that's how it goes
UnkleRhaukus
  • UnkleRhaukus
Is there any further instruction for the question?
anonymous
  • anonymous
No
anonymous
  • anonymous
Power of product property (xy)5 how about this one
UnkleRhaukus
  • UnkleRhaukus
\[(xy)^a = x^ay^a\]
anonymous
  • anonymous
What
anonymous
  • anonymous
so the answer is x
nincompoop
  • nincompoop
screen shot your homework and show it to us
anonymous
  • anonymous
Ok how
nincompoop
  • nincompoop
good night
anonymous
  • anonymous
This is it
1 Attachment
anonymous
  • anonymous
Now can you help please
UnkleRhaukus
  • UnkleRhaukus
it looks like some content might be missing or displayed improperly i think the first question a really two questions merged together by accident
UnkleRhaukus
  • UnkleRhaukus
Uses these index rules \[x^a\cdot x^b = x^{a+b}\] \[(xy)^a = x^ay^b\] \[(x^a)^b = x^{a\times b}\]
anonymous
  • anonymous
Might be I didn't understand it
anonymous
  • anonymous
Can you please help me more
UnkleRhaukus
  • UnkleRhaukus
how?
anonymous
  • anonymous
It's with this
1 Attachment
UnkleRhaukus
  • UnkleRhaukus
the first is like \[a\sqrt x+b\sqrt x-c\sqrt x=(a+b-c)\sqrt x\]

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