Question

Simplify
6y^-1 . 2x^6 . 4v^-5 x^8 yv^7

use on positive exponents in your answer

Answer 1

keeping in mind that \(\bf a^{-n} = \cfrac{1}{a^n}\) then
\(\bf 6y^{-1}\cdot 2x^6 \cdot 4v^{-5} x^8 yv^7\\ \quad \\ \quad \\
6y^{-1}\implies 6 \cdot \cfrac{1}{y^1}\implies \cfrac{6}{y}\\ \quad \\
4v^{-5}\implies 4 \cdot \cfrac{1}{v^5}\implies \cfrac{4}{v^5}\qquad thus\\ \quad \\
6y^{-1}\cdot 2x^6 \cdot 4v^{-5} x^8 yv^7\implies \cfrac{6}{y}\cdot 2x^6\cdot \cfrac{4}{v^5}\cdot x^8 yv^7\)