Question

Comparați:8²⁰ 16¹⁵ dau coroana​

Answer 1

Răspuns:

8 ^20 =16 ^15

Explicație pas cu pas:

8 ^20 =(2 ^3) ^20 =2 ^(3 ×20) =2 ^60

16 ^15 =(2 ^4) ^15 =2 ^(4 ×15) =2 ^60

Answer 2

Răspuns:

$\bf 8 ^{20} =\big(2^3\big)^{20} =2^{3 \cdot 20} =\blue{\underline{~2 ^{60}~}}$  

$\bf 16^{15} =\big(2 ^4\big)^{15} =2^{4 \cdot15} =\purple{\underline{~2 ^{60}~}}$

$\bf 2^{60} =2^{60}\implies \red{\boxed{\bf ~8^{20} = 16^{15}~}}$