Question

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

A. C^1

B. C^7

C. C^12

D. C^64

Answer 1

Use the rules of exponents to simplify the expression.

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

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

`\large\displaystyle\text{$\begin{gathered}\sf C^(4*3) \ \to \ Multiply \end{gathered}$}`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf C^(12) \end{gathered}$}}`

Therefore, the correct option is "C".