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^{(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=(1)/(3) \end{gathered}`

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

`\begin{gathered} a* b=12*(1)/(3) \\ a* b=4 \end{gathered}`

Hence, option (d) is the correct answer.