QuestionAugust 25, 2025

Simplify. y^-8cdot y^-4 Write your answer with a positive exponent only. square

Simplify. y^-8cdot y^-4 Write your answer with a positive exponent only. square
Simplify. y^-8cdot y^-4 Write your answer with a positive exponent only. square

Solution
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Answer

\frac{1}{y^{12}} Explanation 1. Apply the Product of Powers Rule Use **a^m \cdot a^n = a^{m+n}** to combine exponents: y^{-8} \cdot y^{-4} = y^{-8 + (-4)} = y^{-12}. 2. Convert to Positive Exponent Use **a^{-n} = \frac{1}{a^n}** to rewrite with a positive exponent: y^{-12} = \frac{1}{y^{12}}.

Explanation

1. Apply the Product of Powers Rule<br /> Use **$a^m \cdot a^n = a^{m+n}$** to combine exponents: $y^{-8} \cdot y^{-4} = y^{-8 + (-4)} = y^{-12}$.<br />2. Convert to Positive Exponent<br /> Use **$a^{-n} = \frac{1}{a^n}$** to rewrite with a positive exponent: $y^{-12} = \frac{1}{y^{12}}$.
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