Question

urgenttt va rog,pe lung:
tot CE e cu stiloul cu negru sant puteri ,mai mare ,mic indiferent.bazele sunt cele tiparite.
Mai in scurt,rezolvati daca aveti intrebari adresati,ms.

Answer 1

a)
$\frac{ 2^{-21} }{ 4^{-5-6} }$ = $\frac{ 2^{-21} }{ 4^{-11} }$ = $\frac{ 2^{-21} }{ (2^{2})^{-11} }$ = $\frac{ 2^{-21} }{ 2^{-22} }$ = $2^{-21-(-22)}$ = 2

Observatie:
$a^{n}$ = a*a*a*...*a (de n ori) 
Exemplu: $2^{5}$ = 2 * 2 * 2 * 2 * 2 = 32
$a^{m}$ * $a^{n}$ = $a^{m+n}$
$a^{m}$ : $a^{n}$ = $\frac{ a^{m} }{ a^{n} }$ = $a^{m-n}$
$(a^{m})^{n}$ = $a^{m*n}$

***) $a^{-m}$ = $\frac{1}{ a^{m} }$  (observatie suplimentara, nu ai nevoie de ea pentru exercitiile curente)

Obs:
Daca a= $b^{t}$
atunci: $a^{m}$ = $(b^{t})^{m}$ = $b^{t*m}$

Exemplu:

27=$3^{3}$
$27^{-4}$ = $(3^{3})^{-4}$ = $3^{3*(-4)}$ = $3^{-12}$