Exponents and Powers Class 7 MCQ Questions with Answers Maths are covered in this Article. Exponents and Powers Class 7 MCQ Test contains 19 questions. Answers to MCQs on Exponents and Powers Class 7 are available at the end of the last question. These MCQ have been made for Class 7 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 7 |
| Chapter | Chapter 13 Exponents and Powers |
Exponents and Powers Class 7 MCQ Questions with Answers
1.Express the following as a Rational Number
(-7/10)-3
(a) 1000/343
(b) 343/1000
(c) -1000/343
Answer
Answer: (c) -1000/343
Explanation: We know that
(a/b)−n =(b/a)n
We can write(−7/10)-3 as (10/−7)3
If we compare the given equation, we would get the value of a = -7
b = 10
n = -3
Substituting the value in given equation (b/a)n
we would get
(10/−7)3
= (10×10×10)/(−7×−7×−7)
= 1000/(−343)
or −1000/343
2. Solve and express in an Exponential Form
(-2/13)3 ×(-2/13)3
(a) (13/-2)6
(b) (-2/13)6
(c) (-2/13)9
Answer
Answer: (b) (-2/13)6
Explanation: We know that
(a/b)m X (a/b)n= (a/b)m+n
If we compare the given equation, we would get the value of a = -2
b = 13
m = 3
Substituting the value in n = 3
or in other words
(a/b)m X (a/b)n
(−2/13)3+3
(−2/13)6
3.Express the following Rational Number in an Exponential Form
(-343/8000)
(a)(20/-7)5
(b)(-7/20)3
(c)(-5/23)2
Answer
Answer: (b)(-7/20)3
Explanation: We know that
-343 = -7 X -7 X -7
8000 = 20 X 20 X 20
So we can say
−343/8000 =(−7/20) X (−7/20) X (−7/20)
−343/8000 = (-7/20)3
4.Express the following Rational Number in an Exponential Form
625/10000
(a) (5/10)4
(b) (5/10)6
(c) (5/10)3
Answer
Answer: (a) (5/10)4
Explanation: We know that
625 = 5 X 5 X 5 X 5
10000 = 10 X 10 X 10 X 10
So we can say
625/10000= (5/10) X (5/10) X (5/10) X (5/10)
625/10000 = (5/10)4
5.Express the following Rational Number in an Exponential Form
(-32/100000)
(a) (-2/10)5
(b) (-2/10)3
(c) (10/-2)5
Answer
Answer: (a) (-2/10)5
Explanation: We know that
-32 = -2 X -2 X -2 X -2 X -2
100000 = 10 X 10 X 10 X 10 X 10
So we can say
−32/100000 = (−2/10) X(−2/10)X(−2/10) X (−2/10) X (−2/10)
−32/100000 = (−2/10)5
Exponents and Powers Class 7 MCQ Questions with Answers
6. Evaluate
(-5/8)3
(a) -125/512
(b) 512/-125
(c) -127/64
Answer
Answer: (a) -125/512
Explanation: We know that
(a/b)3 = (a/b) X(a/b) X(a/b)
Comparing the given equation with the above, we notice that
a = -5
b = 8
Putting the value in the given equation, we would get
(−5/8)3 = (−5/8) X(−5/8) X(−5/8)
= −125/512
7.Evaluate
(11/10)3
(a) 1333/996
(b) 1000/1331
(c) 1331/1000
Answer
Answer: (c) 1331/1000
Explanation: We know that
(a/b)3 = (a/b) X(a/b) X(a/b)
Comparing the given equation with the above, we notice that
a = 11
b = 10
Putting the value in the given equation, we would get
(11/10)3 = (11/10)X(11/10) X(11/10)
= 1331/1000
8.Evaluate
(-5/2)5
(a) 5/32
(b) 1/32
(c) -3125/32
Answer
Answer: (c) -3125/32
Explanation: We know that
(a/b)5 = (a/b)X(a/b)X(a/b) X (a/b)X(a/b)
Comparing the given equation with the above, we notice that
a = -5
b = 2
Putting the value in the given equation, we would get
(−5/2)5 = (−5/2) X(−5/2)X(−5/2) X (−5/2) X(−5/2)
= −3125/32
9.Evaluate
(3/4)5
(a) 248/1024
(b) 1024/243
(c) 243/1024
Answer
Answer: (c) 243/1024
Explanation: We know that
(a/b)5 = (a/b) X (a/b)X (a/b) X (a/b)X (a/b)
Comparing the given equation with the above, we notice that
a = 3
b = 4
Putting the value in the given equation, we would get
(3/4)5 = (3/4) X (3/4) X (3/4) X (3/4)X (3/4)
= 243/1024
10. Evaluate
(-10/21)2
(a) 441/100
(b) 100/441
(c) 98/441
Answer
Answer: (b) 100/441
Explanation: We know that
(a/b)2 = (a/b) X(a/b)
Comparing the given equation with the above, we notice that
a = -10
b = 21
Putting the value in the given equation, we would get
(−10/21)2 = (−10/21) X(−10/21)
= 100/441
Exponents and Powers Class 7 MCQ Questions with Answers
11. Evaluate
(5/11)2
(a) 121/25
(b) 25/121
(c) 11/25
Answer
Answer: (b) 25/121
Explanation: We know that
(a/b)2 = (a/b) X(a/b)
Comparing the given equation with the above, we notice that
a = 5
b = 11
Putting the value in the given equation, we would get
(5/11)2= (5/11) X(5/11)
= 25/121
12.Write the reciprocal of the following Rational Number in an Exponential Form
(8/16)2
(a) (16/8)2
(b) (8/16)2
(c) (8/16)2
Answer
Answer: (a) (16/8)2
Explanation: We know that reciprocal of
(a/b)n= (b/a)n
If we compare the given equation, with (a/b)n we would get a = 8 and b = 16 and n = 2
Substituting the value in (b/a)n
we would get (16/8)2
Hence the reciprocal of (8/16)2 = (16/8)2
13. Write the reciprocal of the following Rational Number in an Exponential Form
(-12/32)3
(a) (12/-32)3
(b) (-32/12)3
(c) (-34/12)3
Answer
Answer: (b) (-32/12)3
Explanation: We know that reciprocal of
(a/b)n= (b/a)n
If we compare the given equation, with (a/b)n we would get a = -12 and b 32 and n = 3
Substituting the value in (b/a)n
we would get (32/−12)3 or (−32/12)3
Hence the reciprocal of (−12/32)3 = (−32/12)3
14. Write the reciprocal of the following in an Exponential Form
(11)5
(a) (2/12)5
(b) (1/11)5
(c) (11)5
Answer
Answer: (b) (1/11)5
Explanation: We know that reciprocal of
(a)n = (1/a)n
If we compare the given equation, with (a)n we would get a = 11 and n = 5
Substituting the value in (1/a)n
we would get (1/11)5
Hence the reciprocal of (11)5 =(1/11)5
15. Express the following as a Rational Number
(-2/3)-3×(-2/3)-2
(a) -243/32
(b) 32/-243
(c) -233/32
Answer
Answer: (a) -243/32
Explanation : We know that
(a/b)−n= (b/a)n
Applying this formula to the two given equations, we can write (−2/3)−3 as (3/−2)3
and
(−2/3)−2 as (3/−2)2
Substituting the value in given equation
we would get
(3/−2)3X(3/−2)2
We know that (a)m + (a)n = (a)m+n
In other words
(3/−2)5
243/−32 or −243/32
Exponents and Powers Class 7 MCQ Questions with Answers
16.Express the following as a Rational Number
((9/7)3)-1
(a) 343
(b) 729/343
(c) 343/729
Answer
Answer: (c) 343/729
Explanation: We know that ((a)m)n =(a)mn
If we compare the given equation with this equation we would get
a = 97
m = 3
n = -1
Substituting the value in given equation
we would get
= (9/7)3×−1
= (97)−3
or (7/9)3 Applying (a/b)−n =(b/a)n
= 343/729
Substituting the value of inner bracket into the question
(343/729)1
= 343/729
17. Express the following as a Rational Number
((-8/11)-3)1
(a) 1331/-512
(b) -512/1331
(c) 1311/-512
Answer
Answer: (a) 1331/-512
Explanation: We know that ((a)m)n =(a)mn
If we compare the given equation with this equation we would get
a = −8/11
m = -3
n = 1
Substituting the value in given equation
we would get
=(−8/11)-3×1
= (−8/11)−3
or (11/−8)3 Applying (a/b)−n = (b/a)n
= 1331/−512
18. Express the following as a Rational Number
(1/24)-2
(a) 24
(b) 574
(c) 576
Answer
Answer: (c) 576
Explanation: We know that
(a/b)−n =(b/a)n
We can write(1/24)−2 as (24/1)2
If we compare the given equation, we would get the value of a = 1
b = 24
n = -2
Substituting the value in given equation ( b )n
we would get
(24/1)2
=(24)2
= 24 X 24
= 576
19.Solve and express in an Exponential Form
(9/5)4×(9/5)3
(a) (9/5)7
(b) (5/9)7
(c) (6/9)7
Answer
Answer: (a) (9/5)7
Explanation: We know that
(a/b)m X (a/b)n= (a/b)m+n
If we compare the given equation, we would get the value of a = 9
b = 5
m = 4
Substituting the value in n = 3
or in other words
(a/b)m X (a/b)n
(9/5)4+3
(9/5)7
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Frequently Asked Questions on Exponents and Powers Class 7 MCQ
1. Are these MCQ on Exponents and Powers Class 7 are based on 2021-22 CBSE Syllabus?
Yes. There are 19 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 7 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
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