Question

Aflați ca puteri ce au același exponent:
A. (1/3)^26 si (1/4)^39;
B. ( 6 intregi 1/4)^48 si ( 3 intregi 1/2)^96;
C. (1/9)^18 si (5/3)^36.​

Answer 1

Am trimis atașamentele!

Sper ca te-am ajutat! :)

Answer 2

(1/3)²⁶ = (1/3²)¹³ = (1/9)¹³

(1/4)³⁹ = (1/4³)¹³ = (1/64)¹³

$(6\frac{1}{4}) ^{48}=(\frac{6*4+1}{4} )^{48}=(\frac{25}{4})^{48}\\ \\ (3\frac{1}{2})^{96}=(\frac{3*1+1}{2})^{96}=(\frac{7}{2})^{96}=(\frac{7^{2}}{2^{2}})^{48}=(\frac{49}{4})^{48}$

(1/9)¹⁸ = (1/3²)¹⁸ = (1/3)³⁶

(5/3)³⁶