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If the Expression (sqrt (9x^5y))/(6x^frac (3){2)y^(7)/(2)} Is Written in the Form Ax^by^c Then What Is the Product of A, B and C?

Question

If the expression (sqrt (9x^5y))/(6x^frac (3)(2)y^(7)/(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
3.1 (233 Votos)
Valentina Veterano · Tutor por 11 anos

Resposta

The product of a, b, and c is .

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 square root of can be written as , which simplifies to .## Step 3Next, we simplify the denominator of the expression. remains as it is.## Step 4Now, we divide the numerator by the denominator. This gives us .## Step 5We can simplify this further by dividing the coefficients and the powers of x and y separately. This gives us .## Step 6Finally, we simplify the powers of x and y to get .## Step 7The final step is to multiply the coefficients a, b, and c together. This gives us .