Question

Simplify 125×t-⁴/5-³×625×t-⁸​

Answer 1

Explanation:

`(a^(m))/(a^(n))=a^(m-n)\\\\a^(m)*a^(n)=a^(m+n)\\\\(125t^(-4))/(5^(-3))*625*t^(-8)\\\\=(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)\\\\=(5^(10))/(t^(12))`