Help Me, please

Short answer

If X^{3/4} is written as a radical in the form of radical b^{c} with an index a,

what is the value of a,b, and c?

ManuelBautista2019
Feb 8, 2018

#2**+3 **

If \(x^\frac34\) is written as a radical in the form of \(\sqrt[a]{b^c}\) , what is the value of \(a\) , \(b\) , and \(c\) ?

The denominator of the exponent is the index of the radical. So...

\(x^\frac34\,=\,\sqrt[4]{x^3}\)

Now it is in the form \(\sqrt[a]{b^c}\) , where

a = 4 , b = x , and c = 3

hectictar
Feb 8, 2018

#1**+1 **

Firstly you need an eqation to solve with only 1 vareable or letter.

TheDeathlyHallows
Feb 8, 2018

#2**+3 **

Best Answer

If \(x^\frac34\) is written as a radical in the form of \(\sqrt[a]{b^c}\) , what is the value of \(a\) , \(b\) , and \(c\) ?

The denominator of the exponent is the index of the radical. So...

\(x^\frac34\,=\,\sqrt[4]{x^3}\)

Now it is in the form \(\sqrt[a]{b^c}\) , where

a = 4 , b = x , and c = 3

hectictar
Feb 8, 2018