Q: Is an irrational number raised to an irrational power irrational?

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No.

' 1 ' raised to any power = 1 .The power can be a whole number, a fraction, a decimal,positive, or negative, rational or irrational.

Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.

No.

Any number raised to the power of 1 is equal to itself.

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No.

Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power

' 1 ' raised to any power = 1 .The power can be a whole number, a fraction, a decimal,positive, or negative, rational or irrational.

Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.

The power could then be called an exponent. The number that is being raised to a power is called the base. In the case of 42, the exponent is 2 and the base is 4.

No.

There's always e i x pi = -1 if we're allowed imaginary numbers.

A number raised to the second power is a number times itself. This can also be stated as a number squared.

Any number raised to the power of 1 is equal to itself.

Any number raised to the power 0 equals 1.

When a negative number is raised to an even power the result is a positive number

A number raised to the power "a" is multiplied by itself "a" times. For example, 5 raised to the power 3 is 5x5x5=125. 2 raised to the power 5 is 2x2x2x2x2=32.