Do you mean something like 7^e? In that case, "e" is just another number. You do 7^e the same way you would do 7^2.71828183.
In the same way, 7^pi is the same as 7^3.14159265
In the same way, 7^pi is the same as 7^3.14159265
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If you understand how to do fractional powers (by considering a power of 1/n as the n'th root) then you can do basic decimal powers:
http://www.wikihow.com/Solve-Decimal-Exp…
To calculate irrational powers, you'd have to work them out as the limits of the powers of fractions which approach that number from each side.
You can see how that could work by plotting a graph of 2^x and looking for a value near to x = PI (3.141592654...)
You can imagine there's a fraction with a decimal expansion close to PI (e.g. 31416/10000) which would give a good approximation of the value of 2^pi
http://www.wolframalpha.com/input/?i=2^P…
http://www.google.com/search?q=2^%283141…
http://www.wikihow.com/Solve-Decimal-Exp…
To calculate irrational powers, you'd have to work them out as the limits of the powers of fractions which approach that number from each side.
You can see how that could work by plotting a graph of 2^x and looking for a value near to x = PI (3.141592654...)
You can imagine there's a fraction with a decimal expansion close to PI (e.g. 31416/10000) which would give a good approximation of the value of 2^pi
http://www.wolframalpha.com/input/?i=2^P…
http://www.google.com/search?q=2^%283141…
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e and pi are numbers just like any other; they happen to be irrational, and we treat them special, but they're still just numbers.
You'll need a calculator to get the answers, but you would find 5^e just like you would find 5^3. Ditto with 5^pi.
You'll need a calculator to get the answers, but you would find 5^e just like you would find 5^3. Ditto with 5^pi.