Question

Se a= 4² x 5 ⁶ × 7 ⁸ e b = 4² x 5 ⁴x 7 ⁵ o quociente de a : b é?

Answer 1

Resposta:

Explicação passo-a-passo:

$\dfrac{a}{b}=\dfrac{4^{2}.5^{6}.7^{8}}{4^{2}.5^{4}.7^{5}}\\\\\\\dfrac{a}{b}=4^{(2-2)}.5^{(6-4)}.7^{(8-5)}\\\\\\\dfrac{a}{b}=4^{0}.5^{2}.7^{3}\\\\\\\dfrac{a}{b}=1.5^{2}.7^{3}\\\\\\\dfrac{a}{b}=5^{2}.7^{3}$

Podemos ainda desenvolver

$\dfrac{a}{b}=5^{2}.7^{3}\\\\\\\dfrac{a}{b}=25.343\\\\\dfrac{a}{b}=8575$