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:

$(a^n)^m=a^{n\times m}$

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

$x^{12}=x^{3\times4}=(x^3)^4$

Since y=x^3, then:

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

Therefore:

$\begin{gathered} y=x^3 \\ \Rightarrow x^{12}=y^4 \end{gathered}$