Question

Me ajudem com frações e potencia.

a) 2^-2 + 4^-2/ 2^-4 + 4^-1 =

b) -3/8 ^ -2

c) a^2 x a^5 x a =

d) 10^8 / 10^3 =

e) (a^-5) elevado a -2=

f) (2^3)^2 x 2^4 / 2^8=

Answer 1

a) 2⁻² + 4⁻²/2⁻⁴ + 4⁻¹ = 1/2² + (1/4²)/(1/2⁴) + 1/4¹ =
     1/4 + (1/16)/(1/16) + 1/4 = 1/4 + 1 + 1/4 = 2/4 + 1 = (2 + 4)/4 = 6/4 = 3/2

b) -3/8⁻² = -(8/3)² = - 64/9

c) a² . a⁵ . a¹ = a⁽²⁺⁵⁺¹⁾ = a⁸

d) 10⁸/10³ = 10⁽⁸⁻³⁾ = 10⁶

e) (a⁻⁵)⁻² = a⁽⁻⁵ˣ⁻²⁾ = a¹⁰

f) (2³)² . 2⁴/2⁸ = 2⁽³ˣ²⁾.2⁴/2⁸ = 2⁶.2⁴/2⁸ = 2⁽⁶⁺⁴⁾/2⁸ = 2¹⁰/2⁸ = 2⁽¹⁰⁻⁸⁾ = 2² = 4