Question

Fie A= 2^3 * 3^5 * 7 , B= 2^2 *3 * 7 si C= 2^3 * 3* 7 * 11. Descompuneti in factori primi:
a) A * B ; b) A * C ; c) B * C ; d) A * B * C ; e) A:B f) C:B
STELUTA INSEAMNA ORI SI ^ ESTE LA PUTEREA URGENT DAU COROANA

Answer 1

A=2³x3⁵x7
B=2²x3x7
C=2³x3x7x11
a)AXB=2³x3⁵x7x2²x3x7=2³⁺²x3⁵⁺¹x7¹⁺¹=2⁵x3⁶x7²
b)AXC=2³x3⁵x7x2³x3x7x11=2³⁺³x3⁵⁺¹x7¹⁺¹x11=2⁶x3⁶x7²x11
c)BXC=2⁵x3²x7²x11
d)AXBXC=2⁸x3⁷x7³x11
e)A:B=2³x3⁵x7):(2²x3x7)=2³⁻²x3⁵⁻¹x7¹⁻¹=2x3⁴x7°=2x3⁴
f)=2x11