Grade 7 Exponents and Powers Worksheets -CoolGyan

Grade 7 Maths Exponents and Powers Multiple Choice Questions (MCQs)

1. Express 729 as a power of 3.
(a) 3⁸
(b) 3⁶
(c) 9³
(d) none of these
2. The value of (-1)⁵⁵ is:
(a) -1
(b) 1
(c) 0
(d) none of these
3. The value of (-1)⁵⁰⁰ is:
(a) -1
(b) 1
(c) 0
(d) none of these
4. Simplify and write in exponential form of 2² × 2⁵
(a) 2³
(b) 2⁷
(c) 128
(d) none of these
5. Simplify and write in exponential form of (-4)¹⁰⁰ × (-4)²⁰.
(a) (-4)¹²⁰
(b) (-4)⁸⁰
(c) (-4)²⁰⁰⁰
(d) none of these
6. The exponent in the expression 3⁷ is ……………. .
(a) 1
(b) 7
(c) 0
(d) 3
7. The value of 3° is ………….. .
(a) 0
(b) 3
(c) 1
(d) none of these
8. Multiplicative inverse of $frac{1}{7}$ is …………… .
(a) 49
(b) 5
(c) 7
(d) -14
9. Fill in the Blank a^m ÷ aⁿ – a^…….. Where m and n are natural numbers:-
(a) mn
(b) m + n
(c) m – n
(d) m ÷ n
10. Express (2a)⁴ in exponential form.
(a) 4a³
b) 16a⁴
(c) 2a⁴
(d) 8a⁴
11. In simplified form (3° + 4° + 5°)° is equals to:
(a) 12
(b) 3
(c) 12
(d) 1
12. The approximate distance of moon from the earth is 384, 467, 000 m and in exponential form this distance can be written as …………….. .
(a) 3.84, 467 × 10⁸ m
(b) 384, 467 × 10^-8 m
(c) 384, 467 × 10^-9 m
(d) 3.844, 67 × 10^-13 m
13. 7 × 10^-5 m is the standard form of which of the following ……………. .
(a) 0.0007 m
(b) 0.000007 m
(c) 0.0000007 m
(d) 0.00007 m
14. Fill in the blank: (-1)^{even number} = ……………… .
(a) 2 × (-1)
(b) 1
(c) 0
(d) -13
15. Fill in the blank: (-1)^{odd number} = …………….. .
(a) 1
(b) -1
(c) 2
(d) 0
16. value of (3° + 2°) × 5° is
(a) 1
(b) 25
(c) 2
(d) 0
17. The Base in the expression 8¹⁰ is …………….. .
(a) 10
(b) 2
(c) 8
(d) 800
18. Usual form of the expression 9 × 10^-5 is given by …………….. .
(a) 0.00009
(b) 0.000009
(c) 90 × 10^-4
(d) 0.09 × 10^-3
19. 64 in exponential form is …………… .
(a) 2⁶
(b) 16²
(c) $frac{1}{8^{2}}$
(d) 2⁴
20. 1024 in exponential form is …………… .
(a) 2⁶
(b) 16²
(c) $frac{1}{8^{2}}$
(d) none of these

Grade 7 Maths Exponents and Powers Fill In The Blanks

1.

2. (-3)³ × (-3)⁴ = …………… .
What power 2 is 32? ……………… .
4. Value of $left[left(frac{2}{3} ight)^{2} ight]^{3}$ is …………….. .
5. The standard form of 2156000 is …………….. .

Grade 7 Maths Exponents and Powers Match of column:

Column I	Column II
1. x^m × xⁿ	a. x^mn
2. x^m ÷ xⁿ	b. 1
3. (x^m)ⁿ	c. (xy)ⁿ
4. xⁿ × xⁿ	d. x^{m – n}(m > n)
5. x °	e. x^{m + n}

Grade 7 Maths Exponents and Powers Very Short Answer Type Questions

Write in the standard form:
1. The distance between Earth and Moon is 384,000 km.
2. Speed of light in vacuum is 300,000,000 m/s.
3. 0.0034256
Find the value of:
4. 2° × 3° × 4°
5. (7° ÷ 30) × (8°- 5°)
6. 4° × 6° + 100°

Grade 7 Maths Exponents and Powers Short Answer Type Questions

a. Evaluate:
1. Find the value of x:

2. Find the value of a:

b. Find the value of x:
3. 5 = 5^x
4. (2⁶ ÷ 2^-3) × 2¹⁴ = 2^x

Grade 7 Maths Exponents and Powers Long Answer Type Questions

1. Simplify and write the answer in scientific rotation :
(a) (5 × 10³) × (3 × 10⁵)
(b) $frac{4.5 imes 10^{6}}{0.9 imes 10^{5}}$
2. Find m for the following:
(a) $left(frac{8}{9} ight)^{5} imesleft(frac{9}{4} ight)$ = (2)^m
(b) (7)³ ÷ (2)^m = $left(frac{7}{2} ight)^{3}$
3. Using the standard form, write number 73984 in expanded form.

Grade 7 Exponents and Powers Worksheets