A = [tex]8^{5} * 8^{-2} [/tex]
=[tex]8^{3} [/tex]
Car [tex]x^{a} * x^{b} = x^{a+b} [/tex]
B = [tex]\frac{12^{7} }{4^{7} } * 3^{3}[/tex]
= [tex](\frac{12}{4})^7 * (\frac{3}{1})^3[/tex]
= [tex](\frac{36}{4})^10[/tex]
= [tex]9^{10}[/tex]
Car [tex](\frac{x}{y})^a = \frac{x^a}{b^a}[/tex]
C = [tex]\frac{5^{-2}}{5^3}[/tex]
= [tex]5^{-5}[/tex]
Car [tex] \frac{x^a}{x^b} = x^{a-b}[/tex]
D = [tex](4^{-2})^2 * 2^{-4}[/tex]
= [tex]4^{-4} * 2^{-4}[/tex]
= [tex](4 * 2)^{-4}[/tex]
= [tex]8^{-4}[/tex]
Car [tex](x^a)^b = x^{a*b}[/tex]
et [tex]x^a * y^a = (x * y)^a[/tex]
