Question

Choose the correct simplification of the expression (C^4)^3

Answer 1

Use the rules of exponents to simplify the expression.

$\large\displaystyle\begin{gathered}\sf (C^{4})^{3} \end{gathered}$

To raise a power to another power, multiply the exponents.

$\large\displaystyle\begin{gathered}\sf C^{4\times3} \ \to \ Multiply \end{gathered}$

$\boxed{\large\displaystyle\begin{gathered}\sf C^{12} \end{gathered}}$

Therefore, the correct option is "C".