To simplify the expression \( 4^{10} \) using the Power Rule of Exponents, we can break it down into its expanded form.
The expression \( 4^{10} \) can be expanded as:
\( 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \)
So, the equivalent expanded expression for \( 4^{10} \) is:
4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 (or 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4).
The other options given (like \( (4^{12})^2 \), \( (4^5)^2 \), and \( (4^2)^8 \)) are incorrect representations of \( 4^{10} \).