**Exponents and
Powers Class 8 Worksheet**

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**Exponents and Powers
Class 8 Worksheet**

**1.** Fill in the blanks using laws of
exponents.

a. *a ^{m}
*×

*a*= __________ .

^{n}b. If 648
= 2* ^{m} *× 3

*, then*

^{n}*m*= __________, and

*n*= _____ .

c. (3^{0}
+ 4^{0}) (6^{0} – 3^{0}) = __________ .

d. If (2^{–3x})^{2}
= 4^{3}, then *x *= __________ .

e. *a ^{m}
*÷

*a*= __________ .

^{n}f. The value of 4^{3}
is ____________.

g. The exponential form of 7 × 7 × 7 ×
... multiplied 6 times is ____________.

h.
Another expression for 5^{7} × *y*^{7} is ____________.

i.
The value of (2^{2})^{3} is ____________.

j.
The simplified form of *x*^{8} ÷ *x*^{5} is ____________.

k.
The exponential form of 100 is ____________.

l. The simplified form of (3^{3})^{2}
× (3^{2})^{3}
is ____________.

m. 10000^{0 }= __________

**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. 2^{8} b. 3^{4} c. 5^{3} d. 7^{4} e. 4^{4}

**4.** Simplify the following and write in
exponential form.

a. (3^{2})^{3}
× (3^{3})^{2 }c.
(2^{2})^{4}
× (2^{2})^{3 }×
(2^{3})^{2 }×
(2^{4})^{2}

c.^{
}(4^{4})^{3}
× (4^{2})^{5
}d. (5^{4})^{3}
× (5^{2})^{5 }×
(5^{2})^{3}

**5.**
Simplify the following.

a.
(3^{3}
× 3^{4})^{ }÷
3^{5 }b.
(5^{7} ÷ 5^{4})^{
}× 5^{2}

c.
(6^{8}
÷ 6^{5})^{ }×
6^{3
}d. (7^{2}
× 7^{3}) ÷ 7^{4}

**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 × 10^{5} b.
2.16 × 10^{7}

c.
1.25 × 10^{8} d.
5.69 × 10^{10}

**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.

**MCQs Questions for Class 8 Maths**

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