Question

Write the following as a root in radical form 2^-4/5

Answer 1

Answer:

Given that:

=2^(-4/5)

This means that 2 is the base and -4/5 is the exponent.

To change it in radical form:

• firstly the denominator would be written with radical sign
• Then the negative sign with 4 will be removed by inverting the base.
• Then the fraction will be simplified according to the exponent (power)
• All the steps are performed below:

$=\sqrt[5]{2^{-4} } \\=\sqrt[5]{1/2^4}\\ =\sqrt[5]{1/16}$

i hope it will help you!