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\( t^{-4}.t^{5}.t^{-3} \)

Ask by Mcdonald Crawford. in South Africa
Feb 21,2025

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\( t^{-2} \) or \( \frac{1}{t^2} \)

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The Deep Dive

To simplify the expression \( t^{-4} \cdot t^{5} \cdot t^{-3} \), we apply the laws of exponents. First, we can combine the exponents: \(-4 + 5 - 3 = -2\). Therefore, the simplified form is \( t^{-2} \), which is equal to \( \frac{1}{t^2} \). Exponent rules are foundational in algebra, guiding us through many mathematical concepts. They help simplify complex expressions, making calculations easier. A clear understanding of these rules enables students to tackle more advanced topics confidently!

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