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?

Question

asked Jul 1, 2023 194k views

1 Answer

Sweenish · Answer 1 · 2023-07-08T14:15:26+0000

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.