Subjects algebra

Exponent Simplification B357Fb

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1. **State the problem:** Simplify the expression $$(p^0 \times p^6) \div p^2$$. 2. **Recall the exponent rules:** - $a^0 = 1$ for any $a \neq 0$. - When multiplying powers with the same base, add exponents: $a^m \times a^n = a^{m+n}$. - When dividing powers with the same base, subtract exponents: $\frac{a^m}{a^n} = a^{m-n}$. 3. **Apply the rules step-by-step:** - First, simplify $p^0$: $p^0 = 1$. - Multiply $1 \times p^6 = p^6$. - Now divide by $p^2$: $\frac{p^6}{p^2} = p^{6-2} = p^4$. 4. **Final answer:** $$p^4$$