Respuestas
Respuesta:
a. ( 7/9)^3= 7^3/9^3= 343/729
b. (-7/3) elevado a la cuarta:
(-7/3)⁴ = 7⁴/3⁴ = 2401/81
c. (-6/2) elevado a la quinta :
(-6/2)^5 = (-3)^5 = -243
d. (3/6) elevado al cuadrado :
(3/6)² = (1/2)² = 1/4
e. Dos sextos por dos sextos elevado a cero por dos sextos elevado al cuadrado por dos sextos elevado al cubo :
( 2/6)* (2/6)⁰* (2/6)² *(2/6)³ = ( 2/6)⁶ = ( 1/3 )⁶ = 1⁶ /3⁶ = 1/729
f. Menos tres novenos por menos tres novenos elevado menos uno:
(-3/9) * (-3/9)⁻¹ = ( -1/3)* ( - 9/3)¹ = (-1/3)*(-3)¹ = 1
g. [(-7/5)^2]^3 = ( -7/5)^6= 7^6/5^6 = 117649/15625
h. [(3/7)^3]^2=(3/7)^6= 3^6/7^6= 729/117649
i. [(1/3)^2]^3*(1/3)^2 =(1/3)^6*(1/3)^2= (1/3)^8
j. [(5/7)²]² por (5/7) elevado al cuadrado :
(5/7)⁴* (5/7)² = (5/7)⁶ = 5⁶/7⁶ = 15625/117649
k. (3/8) elevado a la séptima dividido (3/8) elevado al cuadrado :
(3/8)⁷ ÷ (3/8)² = ( 3/8 )⁵
l. ( 4/3)^4÷(4/3)^2=16/9
Explicación paso a paso:
b) (-7/3)^4=2401/81
c) (-6/2)^5= -243
d) (3/6)^2= 1/4
e) (2/6)*(2/6)^0*(2/6)^2*(2/6)^3=1/729
f) (-3/9)*(-3/9)^-1 =1
g) [(-7/5)^2]^3 = 7^6/5^6 = 117649/15625
h) [(3/7)^3]^2= 3^6/7^6= 729/117649
i) [(1/3)^2]^3*(1/3)^2 = (1/3)^8
j) [(5/7)^2]^2 * (5/7)^2 = (5/7)^6
k) (3/8)^7÷(3/8)^2=(3/8)^5
l) ( 4/3)^4÷(4/3)^2= (4/3)^2 = 4^2/3^2=16/9