If f(x)=a^(X), which of the following statements is true? a) f(x+y)=f(x)+f(y) b) f(xy)=f(x)f(y) c) (f(x))y=f(xy) d) (f(x))^(y)=f(x^y)

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If f(x)=a^(X), which of the following statements is true? a) f(x+y)=f(x)+f(y) b) f(xy)=f(x)f(y) c) (f(x))y=f(xy) d) (f(x))^(y)=f(x^y)

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none. it will be f(x+y)=f(x)f(y)
I see you stopped asking questions on coordinate geometry!
lol.^ and that is not a possible answer.

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Are you sure it can't be f(x+y)=f(x)+f(y) ?
yep..it wont be tat.
observe tat a^(x+y)=(a^x)(a^y)
it's f(x+y) = f(x)f(y) example: 2^5 = 2^2 * 2^3 = 32
that's essentially what saubhik said, but with an example
so chizzle any problems?
Yes. None of these answers fit.. Wouldn't (f(x))^(y)=f(x^(y)) work?
no...
however f(x)^y=f(xy) will work. I think u got some problems in exponents. Please clear them out instead of trying for the options :) Ask me if u hav any prob:)
What do you mean clear them out instead of trying for the options?
I mean that u can urself answer ur doubts if u had ur basics clear:) If u are uncomfortable with exponents ask me freely!
I'm fine with exponents. It's when it comes to all variables, functions, logarithms, and having to plug things in that I get confused.
If u know (2^3)*(2^1)=2^4 then u automatically know a^x*a^y=a^(x+y) Hint: If u have problems with variables or find difficult to deal with them assign a value to each variable given in the question and the also in the options.
like above u could have assigned x=1 a=2 y=2. etc.. But be careful while dealing with numbers since some numbers cant be used like taking y=1 will prove d correct while its wrong actually. So u must deal with more than 1 numbers.

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