Exponents and Powers Class 8 Worksheet with Answers
1. Fill in the blanks using laws of
exponents.
a. am
× an = __________ .
b. If 648
= 2m × 3n, then m = __________, and n
= _____ .
c. (30
+ 40) (60 – 30) = __________ .
d. If (2–3x)2
= 43, then x = __________ .
e. am
÷ an = __________ .
f. The value of 43
is ____________.
g. The exponential form of 7 × 7 × 7 ×
... multiplied 6 times is ____________.
h.
Another expression for 57 × y7 is ____________.
i.
The value of (22)3 is ____________.
j.
The simplified form of x8 ÷ x5 is ____________.
k.
The exponential form of 100 is ____________.
l. The simplified form of (33)2
× (32)3
is ____________.
m. 100000 = __________
2. Write the following in exponential
form.
a. 2 × 2 × 2 × 2 × 2 × 2 × 2
b. 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7
c. 11 × 11 × 11 × 11 × 11 × 11 × 11
d. -5 × -5 × -5 × -5 × -5 × -5
3. Write the value of the following
exponents.
a. 28
b. 34
c. 53
d. 74
e. 44
4. Simplify the following and write in
exponential form.
a. (32)3 × (33)2
b.
(22)4
× (22)3 ×
(23)2 ×
(24)2
c. (44)3 × (42)5
d. (54)3
× (52)5 ×
(52)3
5.
Simplify the following.
a. (33 × 34) ÷ 35
b.
(57 ÷ 54)
× 52
c. (68 ÷ 65) × 63
d. (72
× 73) ÷ 74
6.
Write the following numbers in the scientific notation.
a. 13500000000
b. 73900000
c. 3720000
d.
418000000000
7.
Write the following decimal in the scientific notation.
a. 0.000173
b.
0.0008293
c. 0.0000000246
d. 0.000000375
8.
Write the following in the form of integers.
a. 3.58 × 105
b.
2.16 × 107
c. 1.25 × 108
d.
5.69 × 1010
9.
Write the following in the form of decimals.
a. 1.54 × 10-4
b. 6.73 × 10-3
c. 7.14 × 10-6
d. 4.62 × 10-7
10. The speed of light is 30,00,00,000
m/s. Write it in standard form.
11. The distance between Earth and Moon is about 3,84,400 km. Write it in standard form.
12. The distance between Earth and Sun is about 150 million kilometres. Write it in standard form.
ANSWERS
1. a. am + n b.
3; 4
c. 0 d. -1
e. am - n
f. 64
g. 76 h. (5y)7
i. 64
j. x3
k. 22 × 52 l. 312
m. 1
2. a. 27 b. 78
c. 117 d. (-5)6
3. a.
256 b. 81
c. 125
d. 2401
e. 256
4. a. 312 b. 228
c. 422 d.
528
5. a. 32 b. 55
c. 66
d. 71
6. a. 1.35
× 1010
b. 7.39 × 107
c. 3.72 × 106
d. 4.18 × 1011
7. a. 1.73
× 10-4
b. 8.293 × 10-4
c. 2.46 × 10-8
d. 3.75 × 10-7
8. a. 358000
b. 21600000
c. 125000000
d. 56900000000
9. a. 0.000154
b. 0.00673
c. 0.00000714
d. 0.000000462
10. 3.0 × 108 m/s
11. 3.844 × 105 km
12. 1.5 × 108 km
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