3 years ago

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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Simplify 125×t-⁴/5-³×625×t-⁸​

Simplify 125×t-⁴/5-³×625×t-⁸