Question 29 Simplify A) \( x^{7} \cdot x^{5}=\square \) B) \( \left(x^{7}\right)^{5}=\square \) Question Help: \( \square \) Video \( \square \) Message insti Submit Question

Sure, let's simplify each expression step by step. ### **A) \( x^{7} \cdot x^{5} = \square \)** **Step 1:** When multiplying expressions with the same base, you add the exponents. \[ x^{7} \cdot x^{5} = x^{7 + 5} \] **Step 2:** Add the exponents. \[ x^{7 + 5} = x^{12} \] **Simplified Form:** \[ x^{7} \cdot x^{5} = x^{12} \] --- ### **B) \( \left(x^{7}\right)^{5} = \square \)** **Step 1:** When raising a power to another power, you multiply the exponents. \[ \left(x^{7}\right)^{5} = x^{7 \times 5} \] **Step 2:** Multiply the exponents. \[ x^{7 \times 5} = x^{35} \] **Simplified Form:** \[ \left(x^{7}\right)^{5} = x^{35} \] --- ### **Final Answers:** - **A)** \( x^{7} \cdot x^{5} = x^{12} \) - **B)** \( \left(x^{7}\right)^{5} = x^{35} \) If you have any more questions or need further clarification, feel free to ask!