Subjects algebra

Power Division 70A5Ab

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1. The problem asks to express $\frac{7^{10}}{7}$ as a single power. 2. Recall the rule for dividing powers with the same base: $$\frac{a^m}{a^n} = a^{m-n}$$ where $a$ is the base and $m,n$ are exponents. 3. Applying this rule here, the base is 7, $m=10$, and $n=1$ (since $7 = 7^1$). 4. So, $$\frac{7^{10}}{7} = 7^{10-1} = 7^9$$ 5. Therefore, the expression written as a single power is $7^9$.