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Your example is confusing -- while 2^4 = 4^2, in general it is false that x^y=y^x, so not sure what you mean by "converting powers."

A relevant rule is that (a^b)^c = a^(bc) (power of a power is product of powers)

If a=2, b=2, and c=2

then a^b = 2-squared = 4 and the formula gives

4^2 = 2^(2*2)

which is true.

Also (a^b)*(a^c) = a^(b+c) (multiply numbers, add powers)

and (a^b)/(a^c) = a^(b-c) (divide numbers, subtract powers)

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Wiki User

10y ago

What else can I help you with?