POTĘGI zapisz w postaci jednej potęgi a)13^5*13^3= (-123)^2*(-123)^9= 7^6*7^5= b)17^9/17^5= (-8)^7/(-8)^6= 4^14*4^16/4^15= a^9*a^6/a^15= c)5^17*5^12:5^20= 3^8(3^7:3^2)= (-12)^4*(-12)*12^5= d)2^7*5^7= 16^10*8^10= 0,2^3*10^3= (½)^5*4^5= (3

a) 13⁵×13³ = 13⁵⁺³ = 13⁸ (-123)²×(-123)⁹ = (-123)²⁺⁹ = (-123)¹¹ 7⁶×7⁵ = 7⁶⁺⁵ = 7¹¹ b) 17⁹×17⁵ = 17⁹⁺⁵ = 17¹⁴ (-8)⁷:(-8)⁶ = (-8)⁷⁻⁶ = (-8)¹ = -8 4¹⁴×4¹⁶/4¹⁵ = 4¹⁴⁺¹⁶/4¹⁵ = 4³⁰/4¹⁵ = 4³⁰⁻¹⁵ = 4¹⁵ a⁹×a⁶/a¹⁵ = a⁹⁺a⁶/a¹⁵ = a¹⁵/a¹⁵ = a¹⁵⁻¹⁵ = a c) 5¹⁷×5¹²:5²⁰ =  5¹⁷⁺¹² = 5²⁹:5²⁰ = 5²⁹⁻²⁰ = 5⁹ 3⁸(3⁷:3²) = 3⁸(3⁷⁻²) = 3⁸×3⁵ = 3⁸⁺⁵ = 3¹³ (-12)⁴×(-12)×12⁵ = (-12)⁴⁺¹⁺⁵ = (-12)¹⁰ d) 2⁷×5⁷ = (2×5)⁷ = 10⁷ 0,2³×10³ = (0,2×10)³ = 5³ (½)⁵×4⁵ = (1/2×8/2)⁵ = 2⁵ (3/5)⁴:(1/5)⁴ = (3/5:1/5)⁴ = 3⁴ (-1/3)³:(1/9)³ = (-1/3:1/9)³ = (-3)³ (-4/3)×(-3/4)⁴ = (-4/3×-3/4)⁴ = 1⁴ e) (3³)⁴ = 3³*⁴ = 3¹² ((-2)⁴)⁵ = (-2)⁴*⁵ = (-2)²⁰  ((-3⁴)⁶)⁶ = (-3)⁴*⁶*⁶ = (-3)¹⁴⁴ (0,5⁷)⁴ = 0,5⁷*⁴ = 0,5²⁸ ((5²)⁴)⁵ = 5²*⁴*⁵ = 5⁴⁰

a)13^5*13^3=13⁸ (-123)^2*(-123)^9=(-123)¹¹ 7^6*7^5=7¹¹ b)17^9/17^5=17⁴ (-8)^7/(-8)^6=-8 4^14*4^16/4^15=4³⁰/4¹⁵=4¹⁵ a^9*a^6/a^15=a¹⁵/a¹⁵=a c)5^17*5^12:5^20=5¹⁰ 3^8(3^7:3^2)=3⁸ *3⁵=3¹³ (-12)^4*(-12)*12^5=12¹⁰ d)2^7*5^7=10⁷ 16^10*8^10=128¹⁰ 0,2^3*10^3=2³ (½)^5*4^5=2⁵ (3/5)^4:(1/5)^4= (-1/3)^3:(1/9)^3=(-1/3)³:((1/3)²)³=(-1/3)³:(1/3)⁶=(-1/3)⁻³(-3)³ (-4/3)^-1*(-3/4)^4=(3/4)¹*(-3/4)⁴=(3/4)⁵ e)(3^3)^4=3¹² ((-2)^4)^5=(2)²⁰ ((-3/4)^6)^6=(-3/4)¹² (0,5^7)^4=0,5²⁸ ((5^2)^4)^5=(5⁸)⁵=5⁴⁰