Yes, but remember that 2 negatives is a positive. so -2 to the 2nd power would be 4, but -2 to the 3rd power would be -8.
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Yes.
a constant
base
In math, that may either refer to changing the base of the number system (for example, change from decimal (base 10) to binary (base 2)); or it may refer to changing logarithms, from one base to another - for example, common (base-10) logarithms to natural (base-e) logarithms.
You can compute that once you know specific values for variables x, and n. exp n is the exponential function, or antilog to base e. On scientific calculators, you would usually press keys like "inverse" "ln", or "shift" "ln", or something similar. To check whether you did the calculation correctly, exp 1 should show you approximately 2.718.