Question

Express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b

Answer 1

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)`