# Thread: radical to exponential form

1. ## radical to exponential form

is this true?:
the 4th root of 81^3
=8^3/4
?
please show steps

2. Originally Posted by dymand68
is this true?:
the 4th root of 81^3
=8^3/4
?
please show steps
I assume you meant 81^3/4 ....

Use the usual well known rules:

$\sqrt[4]{a} = a^{1/4}$

$(a^m)^n = a^{mn}$

3. the back of the book shows the conversion as:
8^3/4
(from the 4th root of 81^3)
an error in the text presumably