U N I T - 8
5
86. The standard form for 203000 is 2.03 × 10
–2
87. The usual form for 2 × 10
is not equal to 0.02.
–2
88. The value of 5
is equal to 25.
89. Large numbers can be expressed in the standard form by using
positive exponents.
m
m
m
90. a
× b
= (ab)
91. Solve the following:
–2
–3
1
1
÷
(i)
100
–10
(ii) 2
–2
× 2
–3
(iii)
2
2
–5
–4
92. Express 3
× 3
as a power of 3 with positive exponent.
–2
93. Express 16
as a power with the base 2.
−
27
27
and
94. Express
as powers of a rational number.
64
64
−
16
16
and
95. Express
as powers of a rational number.
81
81
96. Express as a power of a rational number with negative exponent.
–3
⎛
⎞
–2
−
⎛
⎞
3
⎜
⎟
⎜
⎟
÷ 2
5
8
–7
(a)
(b) (2
) × 2
⎜
⎟
⎝
⎠
2
⎝
⎠
97. Find the product of the cube of (–2) and the square of (+4).
98. Simplify:
–2
–2
–2
⎛ ⎞
⎛ ⎞
⎛ ⎞
1
1
1
+
+
⎜ ⎟
⎜ ⎟
⎜ ⎟
(i)
⎝ ⎠
⎝ ⎠
⎝ ⎠
4
2
3
3
⎛
⎞
–2
–4
⎛
⎞
⎛ ⎞
–2
1
1
×
×
×
⎜
⎟
–1
3
⎜
⎟
⎜ ⎟
(ii)
⎜
⎟
⎝
⎠
⎝ ⎠
3
3
6
⎝
⎠
×
–3
49
z
≠
(
z
0)
(iii)
×
×
–3
–5
7
10
z
(iv) (2
5
÷ 2
8
) × 2
–7
E E E E E
P P P P P
257
257
257
257
257
XPONENTS
XPONENTS
AND
AND
OWERS
OWERS
XPONENTS
XPONENTS
XPONENTS AND
AND
AND
OWERS
OWERS
OWERS