If the expression \( 4^{10} \) was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point) \( \left(4^{12}\right)^{2} \) \( \left(4^{2}\right)^{8} \) \( \left(4^{8}\right)^{2} \) \( 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \)

To simplify \( 4^{10} \) using the Power Rule of Exponents, we can express it in terms of a base raised to a power. The Power Rule states that \( (a^m)^n = a^{m \cdot n} \). Let's analyze the options given: 1. \( \left(4^{12}\right)^{2} \) simplifies to \( 4^{12 \cdot 2} = 4^{24} \), which is not equivalent to \( 4^{10} \). 2. \( \left(4^{2}\right)^{8} \) simplifies to \( 4^{2 \cdot 8} = 4^{16} \), which is also not equivalent to \( 4^{10} \). 3. \( \left(4^{8}\right)^{2} \) simplifies to \( 4^{8 \cdot 2} = 4^{16} \), which is not equivalent to \( 4^{10} \). 4. \( 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \) represents \( 4^7 \), which is not equivalent to \( 4^{10} \). None of the options provided are equivalent to \( 4^{10} \). However, if we were to express \( 4^{10} \) in an expanded form, it would be \( 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \) (10 times). Since none of the options match \( 4^{10} \), it seems there may be an error in the options provided. The correct expanded expression for \( 4^{10} \) is simply \( 4 \) multiplied by itself 10 times.