i-Ready Numerical Expressions with Exponents - Instruction - Level F Which expressions are equivalent to \( 3^{5} \) ? Choose ALL that apply. \( 81 \cdot 3 \) \( 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \) \( 3 \cdot 5 \) \( 9 \cdot 9 \) \( 9 \cdot 27 \)

To find expressions equivalent to \( 3^{5} \), we can first calculate what \( 3^{5} \) equals. It's \( 3 \times 3 \times 3 \times 3 \times 3 = 243 \). Now let's evaluate the options: 1. \( 81 \cdot 3 = 243 \) 2. \( 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 243 \) 3. \( 3 \cdot 5 \) does not equal \( 243 \) 4. \( 9 \cdot 9 = 81 \) does not equal \( 243 \) 5. \( 9 \cdot 27 = 243 \) So the equivalent expressions are \( 81 \cdot 3 \), \( 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \), and \( 9 \cdot 27 \). Now, let’s dive into something cool! In ancient cultures, exponents were sometimes represented through counting systems, giving rise to fascinating number games. The Egyptians, for instance, would multiply and use powers of 2 for complex calculations, laying the groundwork for modern algebraic concepts! If you want to master exponents, consider exploring their properties: Product of Powers, Power of a Power, and Power of a Product. Remember, a common mistake is overlooking the base when applying these rules! Keeping track of your bases is key to simplifying expressions correctly.