Question

Expresa los números como producto de factores y reduce a una única potencia.

8 ⋅ 27 ⋅ 125
32 ⋅ 7 5 (el cinco es una potencia)
49 ⋅ 9 ⋅ 25
625 ⋅ 16 ⋅ 7 4 (el cuatro es una potencia)
(−5)2 ⋅ 36 ⋅ 100
(−6)3 ⋅ (−27) ⋅ 1000

Answer 1

Respuesta:

8 ⋅ 27 ⋅ 125  = 2³ * 3³ * 5³ = (2*3*5)³ = 30³

32 ⋅ 7⁵ = 2⁵ * 7⁵ = (2*7)⁵ = 14⁵

49 ⋅ 9 ⋅ 25  = 7² * 3² * 5² = (7*3*5)² = 105²

625 ⋅ 16 ⋅ 7⁴ = 5⁴ * 2⁴ * 7⁴ = (5*2*7)⁴ = 70⁴

(−5)² ⋅ 36 ⋅ 100  = (-5)² * 6² * 10² = ((-5)*6*10)² = -300²

(−6)³ ⋅ (−27) ⋅ 1000 = (-6)³ * (-3)³ * 10³ = ((-6)*(-3)*10)³ = 180³

Answer 2

Respuesta:

8*27*125 es igual a 30³

32*7⁵ es igual a 14⁵

49*9*25 es igual a 105²

625*16*7⁴ es igual a 70⁴

(- 5)²*36*100 es igual a 300²

(- 6)³*(- 27)*1000 es igual a 180³

Explicación paso a paso:

8*27*125

2³*3³*5³

(2*3*5)³

(6*5)³

30³

32*7⁵

2⁵*7⁵

(2*7)⁵

14⁵

49*9*25

7²*3²*5²

(7*3*5)²

(21*5)²

105²

625*16*7⁴

5⁴*2⁴*7⁴

(5*2*7)⁴

(10*7)⁴

70⁴

(- 5)²*36*100

5²*6²*10²

(5*6*10)²

(30*10)²

300²

(- 6)³*(- 27)*1000

(- 6)³*(- 3)³*10³

[(- 6)*(- 3)*10)³

(18*10)³

180³