Question

2. Express each of the following as a rational number in the form of p/q Where q≠0

Answer 1

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

$(\dfrac{3}{7})^2=\dfrac{9}{49}$

(b) (7/9)³

$(\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}$

(c) (-2/3)⁴

$(\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}$

Hence, this is the required solution.