Question

81 la puterea a zecea a supra 27 la puterea 12

Answer 1

81 = 9 · 9 = 3² · 3²  = 3⁴ 
27 = 3³ 
81¹⁰ = ( 3⁴ )¹⁰ = 3⁴⁰ 
27¹² = ( 3³ )¹² = 3³⁶ 
81¹⁰    / 27¹² = 3⁴⁰  ⁻ ³⁶ = 3⁴ = 81

Answer 2

$\frac{ 81^{10} }{ 27^{12} }= \\ 81= 3^{4} \\ 27= 3^{3} \\ 27^{12}=( 3^{3}) ^{12}= 3^{36} \\ 81^{10}=( 3^{4}) ^{10}= 3^{40} \\ \frac{81 ^{10} }{27 ^{12} }= 3^{40-36}=3 ^{4}=3*3*3*3 =\ \textgreater \ \boxed{81}$