a) ( 0,5 )⁶ = \(\frac{5^6}{10^6}=\left(\frac{5}{10}\right)^6=\left(\frac{1}{2}\right)^6\)

( 0,5 )⁹ = \(\frac{5^9}{10^9}=\left(\frac{5}{10}\right)^9=\left(\frac{1}{2}\right)^9\)

vì \(\left(\frac{1}{2}\right)^6>\left(\frac{1}{2}\right)^9\)nên \(\left(0,5\right)^6>\left(0,5\right)^9\)

b) vì ( -0,125)⁸ = ( 0,125 )⁸ = ( 0,5 )²⁴

=> ( -0,125 )⁸ = ( 0,5 )²⁴

a) 6³ 

3⁶ = 3^2.3 = ( 3²)³ = 9³ 

Do 6 < 9 nên 6³ < 9³ hay 6³ < 3⁶

^^

a) 6³ = 6³

    3⁶ =( 3²)³ = 9³

Vì 9 > 6 nên 9³ > 6³ hay 3⁶ > 6³

Ta có: ( -0,125 )⁴ = 0,125⁴

( 0,5 )¹² = [( 0,5 )³ ]⁴ = 0,125⁴

Vì 0,125⁴ = 0,125⁴ nên ( -0,125 )⁴ = ( 0,5 )¹²

\(\left(0,125\right)^4=\left(0,5\right)^2\)nhé bạn

(k mk mình sẽ giải đầy đủ)

Ta có:

\(\left(-0,125\right)^4=\left(0,125\right)^4\)

\(\left(0,5\right)^{12}=\left[\left(0,5\right)^3\right]^4=\left(0,125\right)^4\)

Vì \(\left(0,125\right)^4=\left(0,125\right)^4\)=>\(\left(-0,125\right)^4=\left(0,5\right)^{12}\)

t i c k tui đê

Tính thuận tiện:

a, 46 : 24 + 8 : 24

= (46 + 8) : 24

 = 54 : 24

= \(\dfrac{9}{4}\)

b, 705 : 45 - 336 : 45

    =  (705 - 336): 45

   =  369 : 45

   = \(\dfrac{41}{5}\)

c,   2345 : 12,5 : 8

  = 2345 : (12,5 x 8)

= 2345 : 100

= 2,345

d, 25 : 5,6 x 14

 = 25 : 0,8 : 7 x 7 x 2

= 25 : 0,8 x 2

= 50 : 0,8

= 62,5

Nhanh lên ko ạ 

 Gợi ý:

a) \(\dfrac{1}{4}=0,25\)

\(\dfrac{1}{8}=0,125\)

\(\dfrac{1}{2}=0,5\)

b) $18,18=18$ x $1,01$

$1818,18=18$ x $101,01$

$25,25=25$ x $1,01$

$2525,25=25$ x $101,01$

Từ đây ta thấy hai phép nhân có kết quả bằng nhau.

a) \dfrac{1}{4}=0,2541​=0,25

\dfrac{1}{8}=0,12581​=0,125

\dfrac{1}{2}=0,521​=0,5

b) $18,18=18$ x $1,01$

$1818,18=18$ x $101,01$

$25,25=25$ x $1,01$

$2525,25=25$ x $101,01$

d) 8¹² và 12⁸

Ta có : 8¹² = (9⁶)² = 531441²

           12⁸ = (12⁴)² = 20736²

=> 53441² > 20736²

=> 8¹² >  12⁸

a) 3⁶ và 6³

Ta có : 3⁶ = (3²)³ = 9³

            6³ = 6³

=> 9³ > 6³

=> 3⁶ >  6³

b) ( 0,5)⁶ và ( 0,2)⁹

Ta có : (0,5)⁶ = (0,5)^2*3 = \([\left(0,5\right)^2]^3\)= (0,25)³

          (0,2)⁹ = (0,2)^3*3 = \([\left(0,2\right)^3]^3\)= (0,008)³

    Vì 0,25 > 0,008 => (0,25)³ > (0,008)³

         Vậy (0,5)⁶ > (0,2)⁹

c) (-0,125)⁸ và (0,5)²⁴

Ta có : (-0,125)⁸ = (0,125)⁸

             (0,5)²⁴ = (0,5)^3*8 = \([\left(0,5\right)^3]^8\)= (0,125)⁸

              Vậy (-0,125)⁸ = (0,5)²⁴

2:

=1-1+1-1=0

3:

a: =>34*(100+1)/2:a=17

=>a=101

b: =>5/3(x-1/2)=5/4

=>x-1/2=5/4:5/3=3/4

=>x=5/4

1a, \(\dfrac{2005}{2001}\) = 1+\(\dfrac{4}{2001}\); \(\dfrac{2009}{2005}\)=1+\(\dfrac{4}{2005}\)vì\(\dfrac{4}{2001}\)>\(\dfrac{4}{2005}\)nên\(\dfrac{2005}{2001}\)>\(\dfrac{2009}{2005}\)

1b,\(\dfrac{1313}{1515}\)=\(\dfrac{1313:101}{1515:101}\)= \(\dfrac{13}{15}\); \(\dfrac{131313}{151515}\)=\(\dfrac{131313:10101}{151515:10101}\)=\(\dfrac{13}{15}\)

Vậy \(\dfrac{13}{15}\)=\(\dfrac{1313}{1515}\)=\(\dfrac{131313}{151515}\)

\(a,\left(-0,125\right)^4=0.125^4=\left(0.5^3\right)^4=0.5^{12}\)