a) [latex](-x) ^{4}*(-2) ^{2} [/latex]=[latex] x^{4}*4=4 x^{4} [/latex] b) [latex](- frac{a}{3} ) ^{2}=( frac{a ^{2} }{9} )[/latex] c) [latex]-10^{2}*(-a) ^{3} =100*(-a) ^{3}=100*(-a) ^{3} =-100a ^{3} [/latex] d) [latex] frac{-x ^{7} }{(-3) ^{2} }= frac{-x ^{7} }{9} [/latex] e) [latex](- frac{1}{2} ) ^{3}*(-b) ^{4}=- frac{1}{8}* b^{4}= frac{-b ^{4} }{8} [/latex] f) [latex] frac{(-5) ^{3} }{25} }*(-m) ^{5}= -frac{125}{25}*(-m ^{5} )=-5*(-m ^{5})=5m ^{5} [/latex] a) a=[latex] 5^{7}[/latex] b= [latex](-7) ^{8}[/latex] c=[latex](-5) ^{8}[/latex] a < c
11. a) (-x)⁴ * (-2)²=x⁴ * 4=4x⁴ b) (-a/3)²= a²/9 c) (-10)² * (-a)³= 100 * (-a³)=-100a³ d) (-x)⁷/(-3)²= -x⁷/9 e) (-1/2)³ * (-b)⁴ = -1/8 b⁴ f) (-5)³/25 * (-m)⁵= -125/25 * (-m⁵)=5m⁵ 3. a) a=5⁷ b=(-7)⁸=7⁸ c=(-5)⁸=5⁸ a < c < b b) a=-2⁴ b=(-2)⁴=2⁴ c=-3⁸=-3⁸ c < a < b c) a=(-2/9)⁸ = (2/9)⁸ b=(-2/9)¹¹ = -(2/9)¹¹ c=(2/9)¹⁵ Podstawa potegi 2/9 < 1. (2/9) do potegi wyzszej jest mniejszy od (2/9) do potegi nizszej. b < c < a d) a=(2/3)⁵ b=(3/2)⁵ > 1 c=(2/3)¹⁰ c < a < b