express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b

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19-07-2014
Mathematics

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express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b

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Soham Soham · Answer 1 · 2014-07-19T06:47:26+02:00

Soham Soham

19-07-2014

i) [tex]2 ^{a}*2 ^{b}* 2^{c} [/tex]
We know that [tex] x^{a} * x^{b} = x^{a+b} [/tex]
Therefore,
[tex]2 ^{a}*2 ^{b}* 2^{c} [/tex] = [tex]2 ^{a+b+c} [/tex]
ii) [tex]2 ^{a+b} * 2 ^{a-b}= 2^{(a+b+a-b)} [/tex]
[tex]= 2^{2a} [/tex]

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express each as a single power of 2...2^a X 2^b X 2^c2^a+b X 2^a-b

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express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b