Question

The expression a^5/2 is equivalent to which

Answer 1

`a^(5)/(2) = √(a^5) = (\sqrt {a})^5`

Explanation:

A number raised to a fraction as an exponent means the number is raised to the numerator of the exponent, and then take the root shown by the denominator of the exponent.

For example, if the exponent is 2/3, raise the number to the 2nd power and take the third root.

Here is the definition:

`a^{(m)/(n)} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m`

`a^(5)/(2) = √(a^5) = (\sqrt {a})^5`