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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?

User AlexandrX
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1 Answer

3 votes

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.

User Sweenish
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