Question

(8⁵×8⁸)⁵:(2¹⁵×2¹⁰)² helppp​

Answer 1

Salut! (✯ᴗ✯)

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( 8⁵ · 8⁸ )⁵ : ( 2¹⁵ · 2¹⁰ )² =

= [ 8^( 5 + 8 ) ]⁵ : [ 2^( 15 + 10 ) ]² =

= ( 8¹³ )⁵ : ( 2²⁵ )² =

= 8^( 13 · 5 ) : 2^( 25 · 2 ) =

= 8⁶⁵ : 2⁵⁰ =

= ( 2³ )⁶⁵ : 2⁵⁰ =

= 2^( 3 · 65 ) : 2⁵⁰ =

= 2¹⁹⁵ : 2⁵⁰ =

= 2^( 195 - 50 ) =

= 145 → rezultat

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⌜⚙️⌟ Proprietăți ale puterilor pe care le-am aplicat:

• ( a^b )^c = a^( b · c )
• a^b : a^c = a^( b - c )
• a^b · a^c = a^( b + c )