Question

Stiind ca 4 supra a = b supra 16 calculeaza a³• b³, scriind rezultatul sub forma unei puteri cu baza

Answer 1

$\frac{4}{a}=\frac{b}{16} \\ \\a\cdot b=4\cdot16 \\ \\a\cdot b=2^{2}\cdot 2^{4}=2^{4+2}=2^{6}\\ \\a^{3} \cdot b^{3}=(a\cdot b)^{3}=(2^{6})^3=2^{6\cdot3}=2^{18}$

Answer 2

4/a= b/16

a×b= 16×4

(a×b)³ = (16×4)³ = 64³