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Where you went wrong is that 2^34- 2^28 does not equal 2^6. You can only do things to the exponents when you are multiplying or dividing.

So taking the originial equation 2^34 - 2^28, this is the same as saying 2^28*2^6 -- when you multiply numbers that have the same base but different exponents, you add the exponents; conversely, when you multiply numbers with same base but different exponents, you multiply the bases.. Does that make sense?

Where you went wrong is that 2^34- 2^28 does not equal 2^6. You can only do things to the exponents when you are multiplying or dividing.

So taking the originial equation 2^34 - 2^28, this is the same as saying 2^28*2^6 -- when you multiply numbers that have the same base but different exponents, you add the exponents; conversely, when you multiply numbers with same base but different exponents, you multiply the bases.. Does that make sense?

yes that does make sense.

but where does the "-1 "come from in your answer
2^28*2^6-1.. or is that 2^28*2^6-2^28??

please explain.. that is still unclear to me _________________

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