Exponents And Powers Worksheets - Class 8, National Council Of Educational Research And Training Page 30
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36M A T H E M A T I C S
8
173. The distance between the Sun and the Earth is 1.496 × 10
km and
8
distance between the Earth and the Moon is 3.84 × 10
m. During
solar eclipse the Moon comes in between the Earth and the Sun.
What is distance between the Moon and the Sun at that particular
time?
13
174. A particular star is at a distance of about 8.1 × 10
km from the
8
Earth. Assuring that light travels at 3 × 10
m per second, find how
long does light takes from that star to reach the Earth.
–1
175. By what number should (–15)
be divided so that the quotient may
be equal to (–5)
–1
?
–3
176. By what number should (–8)
be multiplied so that that the product
–3
may be equal to (–6)
?
177. Find x.
–5
–7
1
1
−
÷ −
= −
x
( 7)
(1)
7
7
+
+
2
x
6
3
x
2
2
2
2
×
=
(2)
5
5
5
x
x
x
(3) 2
+ 2
+ 2
= 192
−
x 7
−
6
=
1
(4)
7
3x
2x+1
(5) 2
= 8
(6) 5
x
+ 5
x–1
= 750
178. If a = – 1, b = 2, then find the value of the following:
(1) a
b
+ b
a
(2) a
b
– b
a
(3) a
b
× b
2
(4) a
b
¸ b
a
179. Express each of the following in exponential form:
−
625
−
−
1296
125
400
(1)
(2)
(3)
(4)
10000
14641
343
3969
180. Simplify:
−
1
2
3
1
1
−
= ×
–3
2
(1)
2
4
274
274
274
274
274
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