Question

przedstaw w postaci jednej potęgi: 0,5⁹:(¼)⁴ =

0,1⁹ :0,001² =

5⁸·2¹⁰

-------- =

32 125

Answer 1

przedstaw w postaci jednej potęgi:           

 

  0,5⁹:(¼)⁴ =

=(1/2)⁹ : [(1/2)²]⁴=

= (1/2)⁹ : (1/2)⁸ =

=  (1/2)¹ =

= 1/2

 

0,1⁹ :0,001² =

= (1/10)⁹ : ( 1/1000)²=

= (1/10)⁹ : [(1/10)³]² =

= (1/10)⁹ : (1/10)⁶ =

= (1/10)³ =

= 10⁻³

 

 

5⁸·2¹⁰

-------- =

32  125

 

     5⁸ *2¹⁰   

= ------------- =

    2⁵* 5³

 

     5⁸ *2¹⁰   

=  ------------- =

     5³ * 2⁵

 

= 5⁵ *2⁵=

=(5*2)⁵ =

= 10⁵