Question

9. Write the following in exponential form:
(a) (9)⁶÷ = (27)3
​

Answer 1

Answer:

(i) 125/27

We can write 125 = 5 × 5 × 5 = 5³ and 27 = 3 × 3 × 3 = 3³

So, 125/27 = 5³/3³ = (5/3)³

(ii) -1/32

We can write -1 = (-1) × (-1) × (-1) × (-1) × (-1) = (-1)⁵

and 32 = 2 × 2 × 2 × 2 × 2 = 2⁵

So, -1/32 = (-1) ⁵/2⁵= (-1/2)⁵

(iii) 16/81

= (2 × 2 × 2 × 2)/( 3 × 3 × 3 × 3)

= 2⁴/3⁴

= (2/3)⁴

(iv) -1/64

= (-1 × -1 × -1)/(4 × 4 × 4)

= (-1/4)

Answer 2

Answer:

27 answer

Explanation:

a) 9×9×9×9×9×9 ÷27×27×27

531441 ÷ 19683

27 is the answer