Page 94 - Mathematics_Form_Two

Exponents and radicals

( ) ( ) (a) 5 2 (b) 7
2
5 9
1 17
(i) 6 (j) 2 (c) 20 3 (d) 12 2
(k) 19 101 (l) (–75) 8 (e) 1 3 (f) (–9) 2
n
(m) (x + y) (n) (7 + x) 8
(g) 30 3 (h) (–2) 3
2. Express each of the following in (i) (–3) (j) 2
5
3
FOR ONLINE READING ONLY
expanded form: (b) (–3) 3 5. Express each of the following
3
3
(k)
(–5)
(l) 10

Mathematics for Secondary Schools (c) 10 5 (d) 2 numbers in exponential form using
2
(a) 7
6
3
the given base:
(–y)
1
(f)
3
(e) 9
(a) 25 in base 5

( )
9 5
(h)
(g) (–99)
(b) 36 in base 6
10
(i) (– 0.35)

(j) (0.67)
3
4
(d) 16 in base 2
(c) 1,728 in base 12
3. Write each of the following in (e) 1,000,000,000,000 in base 10
exponential form and hence identify
the base and the exponent: 6. Use two different ways to express
each of the following numbers as
(a) 7 ×7 ×7 × 7 powers:
(b) (–2) × (–2) × (–2) × (–2) × (–2) (a) 16
× (–2) × (–2)
(b) 64
(c) 14 × 14 × 14 (c) 81
(d) 19 (d) 625
(e) (x + b) (x + b) (x + b) (x + b) (e) 1,000
(f) (– r) × (– r) × (– r) × (– r) × 7. Use a calculator to find:
(– r) × (– r) × (– r)
(a) 8 − 1
(g) 50 × 50 × ... × 50 (30 times)
(h) 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 (b) 1
× 5 8
(i) (a + b) (a + b) (c) 5
3
−
w
w
w
w
w
(j) × × × × × w
8 8 8 8 8 8 1
(k) 0.3 × 0.3 × 0.3 × 0.3 × 0.3 (d) 5 3
(l) v × v × v
(e) 3
−4
4. Find the exact value of each of the 1
following exponential numbers: (f)
3 4
88
Student's Book Form Two
MATHEMATIC F2 v5.indd 88
11/10/2024 20:12:12
MATHEMATIC F2 v5.indd 88 11/10/2024 20:12:12