Question

If the function y =12^3 square root of x was placed in the form y = ax^b then which of the following is the value of a x b?

Answer 1

Option (d)

GIven:

The function is,

$y=12\sqrt[3]{x}$

The general form of the equation is, y = ax^b.

The objective is to find the value of a multiplied by b.

The given function can be written as,

$y=12\cdot x^{\frac{1}{3}}$

Now, the given function can be written as,

$y=a\cdot x^b$

By comparing the equation, the value of a and b will be,

$\begin{gathered} a=12 \\ b=\frac{1}{3} \end{gathered}$

Now, the product of a and b can be calculated as,

$\begin{gathered} a\times b=12\times\frac{1}{3} \\ a\times b=4 \end{gathered}$

Hence, option (d) is the correct answer.