Question
If the expression (sqrt [3](27xy^3))/(5x^frac (4)(3)y^2) is written in the form ax^by^c then what is the product of a, b and c? Answer Attemptiout of 2 square
Solution
4.4
(270 Votos)
Luciano
Mestre · Tutor por 5 anos
Resposta
The product of
,
, and
is 1.
Explicação
## Step 1The given expression is
. We need to simplify this expression and write it in the form
.## Step 2First, we simplify the numerator of the expression. The cube root of
is
, because
and
is the cube of
.## Step 3Next, we simplify the denominator of the expression. The denominator is
.## Step 4Now, we divide the numerator by the denominator. This gives us
.## Step 5We can simplify this further by dividing the terms with the same base. This gives us
.## Step 6Simplifying the exponents gives us
.## Step 7Finally, we rewrite this in the form
, which gives us
.## Step 8The product of
,
, and
is \(\frac {3}{5}*(-\frac {1}{3})*(-1) = 1\).