Question

Calculati:
3 la puterea 6 × 27 la puterea 40 : 9 la puterea 50 cu baza 9
10 la puterea 60 : 100 la putere 20 cu baza 100
Repede!!! Multumesc!!

Answer 1

3⁶ x 27⁴⁰ : 9⁵⁰ = 9¹³

= 3⁶ x ( 3³ )⁴⁰ : ( 3² )⁵⁰ =

= 3⁶ x 3¹²⁰ : 3¹⁰⁰ =

= 3 ⁽ ⁶ ⁺ ¹²⁰ ⁻ ¹⁰⁰ ⁾ =

= 3²⁶ =

= ( 3² )¹³ =

= 9¹³

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10⁶⁰ : 100²⁰ = 100¹⁰

= 10⁶⁰ : ( 10² )²⁰ =

= 10⁶⁰ : 10⁴⁰ =

= 10 ⁽ ⁶⁰ ⁻ ⁴⁰ ⁾ =

= 10²⁰ =

=  ( 10² )¹⁰ =

= 100¹⁰

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sau:  ( 10² )³⁰ : 100²⁰ = 100 ⁽ ³⁰ ⁻ ²⁰ ⁾  = 100¹⁰