Question

zapisz w postaci potegi o wykładniku ujemnym

25-4⁻⁴-9*16⁻²=

oblicz

3⁻²+⅔-(2/4)⁻³=

zapisz wyrazenie w postaci potegi

(0,2)⁻²*5⁻³

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

10⁻³:(0,1)⁻²

Answer 1

zapisz w postaci potegi o wykładniku ujemnym

25-4⁻⁴-9*16⁻²=    ( po 25 powinno być razy)

= 25*(2²)⁻⁴ - 9*(2⁴)⁻² =

=  25 *2⁻⁸ - 9*2⁻⁸ =

= 2⁻⁸( 25 -9) =

= 2⁻⁸*16 =

= 2⁻⁸*2⁴ =

= 2 ⁻⁴

 

 

oblicz

3⁻²+⅔-(2/4)⁻³=

= 3⁻² + (2/3) - (1/2)⁻³ =

= 3⁻² + (2/3) - 2³ =

= (1/3)² + (2/3) - 8 =

= (1/9) + (2/3)  -8 =

= (2/18) + (12/18) - 8 =

= 14/18 - 8 =

= 7/9 -8 =

= - 7 i 1/9

 

zapisz wyrazenie w postaci potegi

(0,2)⁻²*5⁻³        (1/5)⁻¹ *5⁻³       5¹ *5⁻³         5⁻²        5⁻²

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

10⁻³:(0,1)⁻²       10⁻³: 10²            10⁻⁵          (5*2)⁻⁵   5⁻⁵*2⁻⁵

 

 

= 5³ *(1/2)⁻⁵ = 5³ *2⁵ = 5³ * 2³ *2² = (5*2)³ *2² =  10³*2² = 2²*10³