[tex]a)\\\frac{\left(-5\right)^6}{\left(-5\right)^4}\\\\=\left(-5\right)^{6-4}\\\\=\left(-5\right)^2\\\\=5^2\\\\5^2=25\\\\=25[/tex][tex]b)\\\frac{\left(-3\right)^5}{\left(-3\right)^2}\\\\=\left(-3\right)^{5-2}\\\\=\left(-3\right)^3\\\\=-3^3\\\\3^3=27\\\\=-27[/tex][tex]c)\\\frac{\left(-4\right)^8}{\left(-4\right)^5}\\\\=\left(-4\right)^{8-5}\\\\=\left(-4\right)^3\\\\=-4^3\\\\4^3=64\\\\=-64[/tex][tex]d)\\\frac{\left(-1\right)^9}{\left(-1\right)^2}\\\\=\left(-1\right)^{9-2}\\\\=\left(-1\right)^7\\\\=-1^7\\\\1^a=1\\\\=-1[/tex][tex]e)\\\frac{\left(-7\right)^8}{\left(-7\right)^6}\\\\=\left(-7\right)^{8-6}\\\\=\left(-7\right)^2\\\\=7^2\\\\7^2=49\\\\=49[/tex]
[tex]f)\\\frac{10^6}{10^3}\\\\=10^{6-3}\\\\=10^{3}\\\\=10*10*10 =1000\\=1000[/tex]
