Question

(1) Match the following.

Column 'A'	Column 'B'
(1) a3 × a5	(a) a5
(2) a5 ÷ a3	(b) $\frac{1}{a^5}$
(3) a3 ÷ a5	(c) a3+5
(4) (a3)5	(d) a5−3
(5) a5 ÷ a5	(e) $\frac{1}{a^{5-3}}$
	(f) a3x5 (g) 1

(2) Write the values of the cube, the fourth power and the fifth power of each of the following numbers:

(i) 2
(ii) 3
(iii) 1
(iv) −1
(v) 10

Answer 1

(1)

(2)
(i) 2
(2)³ = 2 × 2 × 2 = 8
(2)⁴ = 2 × 2 × 2 × 2 = 16
(2)⁵ = 2 × 2 × 2 × 2 × 2 = 32

(ii) 3
(3)³ = 3 × 3 × 3 = 27
(3)⁴ = 3 × 3 × 3 × 3 = 81
(3)⁵ = 3 × 3 × 3 × 3 × 3 = 243

(iii) 1
(1)³ = 1 × 1 × 1 = 1
(1)⁴ = 1 × 1 × 1 × 1 = 1
(1)⁵ = 1 × 1 × 1 × 1 × 1 = 1

(iv) −1
(−1)³ = −1 × −1 × −1 = −1
(−1)⁴ = −1 × −1 × −1 × −1 = 1
(−1)⁵ = −1 × −1 × −1 × −1 × −1 = −1

(v) 10
(10)³ = 10 × 10 × 10 = 1000
(10)⁴ = 10 × 10 × 10 × 10 = 10000
(10)⁵ = 10 × 10 × 10 × 10 × 10 = 100000