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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

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

Verificación de expertos
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 \(\frac {3}{5}*(-\frac {1}{3})*(-1) = 1\).