Question

equate ar^6=16/81 and ar^3=2)3​

Answer 1

Step-by-step explanation:

hope you understand

Answer 2

Answer:

r = 2/3 ; a = 9/4

Step-by-step explanation:

a = ? , r = ?

a$r^{6}$ = $\frac{16}{81}$ ⇒ a = $\frac{16}{81r^{6} }$

ar³ = $\frac{2}{3}$ ⇒ a = $\frac{2}{3r^{3} }$

$\frac{16}{81r^{6} }$ = $\frac{2}{3r^{3} }$

$\frac{r^{3} }{r^{6} }$ = $\frac{2}{3}$ ÷ $\frac{16}{81}$

$\frac{1}{r^{3} }$ = $\frac{27}{8}$

r³ = $\frac{8}{27}$ ⇒ r = $\frac{2}{3}$

a × $\frac{8}{27}$ = $\frac{2}{3}$ ⇒ a = $\frac{9}{4}$