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Rational Exponents and Radicals

A power with the exponent can be rewritten as the square root of the base. In other words, the square root of some number is equal to We know that and so we are looking for Now, we need to write it as a power. Thus, the number can be written as the power

Alternative Solution

Alternative Solution

We are looking for a number which we have to take the square root of to get the number This can be expressed with the equation where is the number we are looking for. By squaring both sides, we can see which number we need to raise to the power of to end up with

Simplify power

We have found that the number can be written as