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Drupady [299]
3 years ago
11

Simplify 125×t-⁴/5-³×625×t-⁸​

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{125t^{-4}}{5^{-3}}*625*t^{-8}\\\\=\frac{5^{3}t^{-4}}{5^{-3}}*5^{4}*t^{-8}\\\\=5^{3-[-3]+4}*t^{-4-8}\\\\=5^{3+3+4}t^{-12}\\\\=5^{10}t^{-12}\\\\=\frac{5^{10}}{t^{12}}

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