Subjects algebra

Simplify Negative Exponent 546596

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1. The problem is to simplify the expression $$\frac{y^{-6}}{y}$$. 2. Recall the rule for dividing powers with the same base: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. Applying this rule to our expression, we get: $$\frac{y^{-6}}{y} = y^{-6 - 1}$$ 4. Simplify the exponent: $$y^{-6 - 1} = y^{-7}$$ 5. Therefore, the simplified form of the expression is: $$y^{-7}$$ This means the expression is equal to $$y$$ raised to the power of negative seven.