Question

(3/8)^-3÷(3/16)^-3 express as a rational number.​

Answer 1

Answer:

${ \frac{3}{8} }^{3} \div { \frac{3}{16} }^{3}$

${ \frac{3}{?8} }^{3} \times { \frac{16}{3} }^{3}$

$\frac{3}{8} \times \frac{3}{8} \times \frac{3}{8} \times \frac{16}{3} \times \frac{16}{3} \times \frac{16}{3}$

$2 \times 2 \times 2$

$8$

8 is rational number...

Answer 2

Answer:

1/8

Step-by-step explanation:

given: (3/8)^-3 ÷ (3/16)^-3

⇒a^-m=(1/a)^m

  ⇒(8/3)³÷(16/3)³

  ⇒(512/27)÷(4096/27)

  ⇒ 512/27 ×27/4096                        (division of fractions can be done by          

  ⇒512/4096                                       doing reciprocal of 2 nd fraction)

  ⇒1/8

   HOPING THAT THIS ANSWER WOULD HELP YOU..........