Mathematics

Mathematics

Problem

Simplify. Your answer should contain only positive exponents. 2k3⋅k2k−3\frac{2k^3 \cdot k^2}{k^{-3}}
Intuitive explanation

When you see negative exponents in a denominator, remember that dividing by a negative power is the same as multiplying by its positive counterpart—so 1k−3=k3\frac{1}{k^{-3}} = k^3. Once you rewrite it that way, you're just combining powers of the same base by adding their exponents. Keep track of which exponents you're adding and you'll land on a clean positive result.

Intuitive explanation

When you see negative exponents in a denominator, remember that dividing by a negative power is the same as multiplying by its positive counterpart—so 1k−3=k3\frac{1}{k^{-3}} = k^3. Once you rewrite it that way, you're just combining powers of the same base by adding their exponents. Keep track of which exponents you're adding and you'll land on a clean positive result.

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