Subjects algebra

Exponent Multiplication 18472B

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Question: User: what is $y$ to the second power times $y$ to the sixth power
1. **State the problem:** We want to find the product of $y$ to the second power and $y$ to the sixth power, i.e., calculate $y^2 \times y^6$. 2. **Recall the exponent multiplication rule:** When multiplying powers with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$ 3. **Apply the rule:** Here, the base is $y$, so: $$y^2 \times y^6 = y^{2+6}$$ 4. **Simplify the exponent:** $$y^{2+6} = y^8$$ 5. **Final answer:** $$\boxed{y^8}$$ This means multiplying $y^2$ by $y^6$ results in $y^8$.