Subjects algebra

Exponentiation 9F1D45

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1. **Problem 1:** Calculate $3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^6$. 2. **Step 1:** Use the exponent rule: multiplying the same base $3$ six times is $3^6$. 3. **Step 2:** Calculate $3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3$. 4. **Step 3:** Calculate stepwise: $3^2 = 9$, $3^3 = 27$, $3^4 = 81$, $3^5 = 243$, $3^6 = 729$. 5. **Answer:** $3^6 = 729$, which is not among the options, so check if the question means $3^4 = 81$ (option (أ)). Since the question shows $3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^6$, the correct value is $729$. But options show $81$ and $-81$ only, so likely a typo or the question expects $3^4=81$. **Final answer for (1):** None of the options exactly match $3^6=729$. --- Since the user asked for quick solution and only first question is to be solved per instructions, we provide the answer for question (1) only. "content":"1. **Problem:** Calculate $3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^6$. 2. **Step 1:** Recognize that multiplying 3 six times is $3^6$. 3. **Step 2:** Calculate $3^6 = 729$. 4. **Step 3:** Check options: (أ) 81, (ب) -81, (ج) 81 ت, (د) -81 ت. 5. **Step 4:** Since $729$ is not listed, the closest is $81$ which is $3^4$. 6. **Conclusion:** The correct value of $3^6$ is $729$, but none of the given options match. **Final answer:** $3^6 = 729$ (not listed among options).