• Globulart@lemmy.world
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    1 year ago

    2^(a-b) = (2a)/(2b)

    You can see this in the example above but perhaps it's better to use different powers to make things a bit clearer.

    2^5=2x2x2x2x2

    2^3=2x2x2

    (25)/(23)=(2x2x2x2x2)/(2x2x2)

    You can cancel 3 of the 2s from the top and bottom of the fraction to be left with 2x2, or 2^2.

    I.e. (25)/(23)=2^2

    The quicker way to calculate this is doing 2^(5-3) which when you resolve the bracket is obviously just 2^2 or 2x2.

    If both numbers in the bracket are the same the bracket will always resolve to 0, which is the same as saying a number divided by itself, any number divided by itself is one so it follows that any number to the power 0 is also 1 (because it's essentially exactly the same calculation).