Problemas
Question Given xgt 0 rewrite the following expression in simplest radical form. sqrt [4](16x^2)cdot sqrt [3](216x^11) Answer Attemptiout of 2 square
Roztwór
Eduardo
experto · Tutor durante 3 años
4.5
(389 Votos)
Respuesta
The simplified form of the given expression is
.
Explicación
## Step 1The given expression is
. We need to simplify this expression by rewriting it in simplest radical form.## Step 2First, we simplify
. The fourth root of 16 is 2, and the fourth root of
is
. Therefore,
simplifies to
.## Step 3Next, we simplify
. The cube root of 216 is 6, and the cube root of
is
. Therefore,
simplifies to
.## Step 4Finally, we multiply the two simplified expressions together. This gives us
.## Step 5We can simplify this further by adding the exponents of
, since the bases are the same. This gives us
.## Step 6Adding the fractions
and
gives us
. Therefore, the final simplified expression is
.