Problemas
Given xgt 0 rewrite the following expression in simplest form. sqrt [4](81x^8)cdot sqrt [3](64x^12) Answer Attemptiout of 2 square
Roztwór
Luis
élite · Tutor durante 8 años
3.8
(204 Votos)
Respuesta
The simplest form of the given expression is
.
Explicación
## Step 1The given expression is
. We need to simplify this expression.## Step 2We start by simplifying each term separately. The fourth root of
can be written as \((81x^{8})^{1/4}\). Similarly, the cube root of
can be written as \((64x^{12})^{1/3}\).## Step 3Next, we simplify the terms inside the parentheses.
can be written as
, and
can be written as \((x^2)^4\). So, \((81x^{8})^{1/4}\) simplifies to
.## Step 4Similarly,
can be written as
, and
can be written as \((x^4)^3\). So, \((64x^{12})^{1/3}\) simplifies to
.## Step 5Finally, we multiply the simplified terms together to get the final answer. So,
.