Question

If y=x^3,which is equivalent to x^12A. y^36B. y^15C. y^9D. y^4

Answer 1

Remember the following property of exponents:

`(a^n)^m=a^(n* m)`

On the other hand, 12 = 3x4, then:

`x^(12)=x^(3*4)=(x^3)^4`

Since y=x^3, then:

`(x^3)^4=y^4`

Therefore:

`\begin{gathered} y=x^3 \\ \Rightarrow x^(12)=y^4 \end{gathered}`