mishy23 mishy23

18-07-2014
Mathematics

Answered

express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b

Verified Answer :

19-07-2014

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

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