# MCQ Questions for Class 7 Maths Chapter 13 Exponents and Powers with Answers

Students are advised to solve Exponents and Powers Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Exponents and Powers Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Exponents and Powers Class 7 with answers provided with detailed solutions by looking below.

Question 1.

Multiplicative inverse of \(\frac { 1 }{ 7 }\) is

(a) 14

(b) 7

(c) 49

(d) None of these

## Answer

Answer: (b) 7

Question 2.

Simplify 2 × 10^{3}.

(a) 1000

(b) 2000

(c) 16000

(d) None of these

## Answer

Answer: (b) 2000

2 × 10 × 10 × 10 = 2000.

Question 3.

Find 7^{3} ÷ 7^{3}.

(a) 7^{6}

(b) 7^{9}

(c) 7^{0}

(d) None of these

## Answer

Answer: (c) 7^{0}

7^{3-3} = 7^{0}

Question 4.

The value of (−1)^{47} is

(a) -1

(b) 1

(c) 0

(d) None of these

## Answer

Answer: (a) -1

Question 5.

Express 72 as a product of powers.

(a) 2^{3} × 3^{2}

(b) 3^{3} × 2^{3}

(c) 2^{3} + 3^{2}

(d) None of these

## Answer

Answer: (a) 2^{3} × 3^{2}

Prime factors of 72 = 2 × 2 × 2 × 3 × 3 = 2^{3} × 3^{2}.

Question 6.

Find the number from the following expanded forms 3 × 10^{4} + 7 × 10^{2} + 5 × 10^{0}.

(a) 375

(b) 30705

(c) 3705

(d) None of these

## Answer

Answer: (b) 30705

30000 + 700 + 5 = 30705.

Question 7.

The short notation 10^{4} stands for the product.

(a) 10 × 10 × 10 × 10

(b) 4 × 10

(c) 10 + 10 + 10 + 10

(d) None of these

## Answer

Answer: (a) 10 × 10 × 10 × 10

10 is multiplied four times.

Question 8.

Simplify 3^{4} ÷ 3^{4}.

(a) 3^{0}

(b) 3^{11}

(c) 3^{28}

(d) None of these

## Answer

Answer: (a) 3^{0}

In division power.

Question 9.

The value of (−1)^{91} is

(a) 1

(b) 0

(c) -1

(d) None of these

## Answer

Answer: (c) -1

Question 10.

The value of (−1)^{310} is

(a) 1

(b) -1

(c) 0

(d) None of these

## Answer

Answer: (a) 1

Question 11.

Express using exponential notation 343.

(a) 3^{7}

(b) 7^{3}

(c) 7

(d) None of these

## Answer

Answer: (b) 7^{3}

Prime factors of 343 = 7 × 7 × 7.

Question 12.

Express 729 as a power of 3.

(a) 9^{3}

(b) 3^{4}

(c) 3^{6}

(d) 3^{2}

## Answer

Answer: (c) 3^{6}

Question 13.

In 10^{4}, 10 is called :

(a) Base

(b) Power

(c) Exponent

(d) None of these

## Answer

Answer: (a) Base

Question 14.

The number which is multiplied by (−8)^{-1} to obtain a product equal to 10^{-1} is ____.

(a) \(\frac { -4 }{ 5 }\)

(b) \(\frac { -3 }{ 5 }\)

(c) \(\frac {- 1 }{ 5 }\)

(d) \(\frac { -5 }{ 4 }\)

## Answer

Answer: (a) \(\frac { -4 }{ 5 }\)

Question 15.

Express in exponential form 2 × 2 × a × a.

(a) 2^{2}. a^{2}

(b) 2^{2}. 2^{0}

(c) 2^{2} + a^{2}

(d) None of these

## Answer

Answer: (a) 2^{2}. a^{2}

2 is multiplied two times and also a is multiplied two times.

Question 16.

Simplify 5^{2} ÷ 5^{6}.

(a) 5^{-4}

(b) 5^{4}

(c) 5^{8}

(d) None of these

## Answer

Answer: (a) 5^{-4}

As 5^{2-6} = 5^{-4}.

Question 17.

The value of (−1)^{500} is

(a) 1

(b) -1

(c) 0

(d) None of these

## Answer

Answer: (a) 1

Question 18.

Which is greater 2^{3} or 3^{2}.

(a) 2^{3}

(b) 3^{2}

(c) Equal

(d) None of these

## Answer

Answer: (b) 3^{2}

2^{3} = 2 × 2 × 2 = 8, 3^{2} = 3 × 3 = 9.

Question 19.

Simplify 0 × 12^{2}.

(a) 1

(b) 20

(c) 0

(d) None of these

## Answer

Answer: (c) 0

0 is multiplied by any number gives result 0.

Question 20.

Find the value of \(\frac{3^{5}}{3^{5}}\)

(a) 1

(b) 0

(c) 3

(d) None of these

## Answer

Answer: (a) 1

3^{5-5} = 3^{0} = 1

Question 21.

The value of 11^{0} is ________ .

(a) 3

(b) 11

(c) 1

(d) None of these

## Answer

Answer: (c) 1

Question 22.

The exponential form of 100000 is

(a) 10^{3}

(b) 10^{4}

(c) 10^{5}

(d) none of these

## Answer

Answer: (c) 10^{5}

Question 23.

(-1)^{3} find value.

(a) 1

(b) -1

(c) -3

(d) None of these

## Answer

Answer: (b) -1

Negative sign has odd number exponent.

Question 24.

Simplify 2^{3} × 5.

(a) 30

(b) 40

(c) 20

(d) None of these

## Answer

Answer: (b) 40

2^{3} × 5 = 2 × 2 × 2 × 5 = 40.

Question 25.

Find the value of 2^{0} + 3^{0} + 4^{0}.

(a) 3

(b) 0

(c) 9

(d) None of these

## Answer

Answer: (a) 3

2^{0} + 3^{0} + 4^{0} = 1 + 1 + 1 = 3.

Question 26.

Express 432 as a product of powers of prime factors.

(a) 2^{3}×3^{3}

(b) 8×27

(c) 16×27

(d) 2^{4}×3^{3}

## Answer

Answer: (d) 2^{4}×3^{3}

Question 27.

Find the value of 11^{2}.

(a) 121

(b) 22

(c) 5.5

(d) None of these

## Answer

Answer: (a) 121

11 × 11 = 121.

Question 28.

Simplify a^{2} × a^{4}.

(a) a^{8}

(b) a^{6}

(c) a^{2}

(d) None of these

## Answer

Answer: (b) a^{6}

Powers are added as the base of both numbers is a.

Question 29.

Find the number from the following expanded forms

8 × 10^{4} + 6 × 10^{3} + 0 × 10^{2} + 4 × 10^{1} + 5 × 10^{0}.

(a) 86045

(b) 8645

(c) 86450

(d) None of these

## Answer

Answer: (a) 86045

8 × 10^{4} + 6 × 10^{3} + 0 × 10^{2} + 4 × 10^{1} + 5 × 10^{0} = 80000 + 6000 + 0 + 40 + 5.

Question 30.

Multiplicative inverse of \(\frac { 1 }{ 5 }\) is

(a) 10

(b) 3

(c) 5

(d) None of these

## Answer

Answer: (c) 5

Question 31.

Solve 1^{4}.

(a) 1

(b) 4

(c) -1

(d) None of these

## Answer

Answer: (a) 1

1 is multiplied four times, i.e. 1 × 1 × 1 × 1.

Question 32.

Solve 2^{2} × 2^{3}.

(a) 2^{6}

(b) 2^{5}

(c) 4^{6}

(d) None of these

## Answer

Answer: (b) 2^{5}

Powers are added if the base are same in case of multiplication.

Question 33.

Solve (3^{0} + 2^{0}) × 5^{0}.

(a) 2

(b) 0

(c) 5

(d) None of these

## Answer

Answer: (a) 2

(1 + 1) x 1 = 2 × 1 = 2.

Question 34.

The value of 7^{0} is ________ .

(a) 7

(b) 21

(c) 1

(d) None of these

## Answer

Answer: (c) 1

Question 35.

In 10^{4}, 4 is called :

(a) Base

(b) Power

(c) Exponent

(d) None of

## Answer

Answer: (c) Exponent

Question 36.

Identify the greater number (i) 4^{3} or 3^{4}.

(a) 4^{3}

(b) 3^{4}

(c) Both are equal

(d) None of these

## Answer

Answer: (b) 3^{4}

4 × 4 × 4 = 64, and 3 × 3 × 3 × 3 = 81.

Question 37.

512 can be written in exponential form as

(a) 2^{3}

(b) 2^{4}

(c) 2^{9}

(d) 2^{1}

## Answer

Answer: (c) 2^{9}

Question 38.

Find the value of \(\left(2^{3}\right)^{2}\).

(a) 64

(b) 36

(c) 81

(d) None of these

## Answer

Answer: (a) 64

2^{3} = 2 × 2 × 2 = 8 and 8^{2} = 8 × 8 = 64.

Question 39.

Solve 2^{0} × 3^{0} × 4^{0}.

(a) 1

(b) 24

(c) 0

(d) None of these

## Answer

Answer: (a) 1

2^{0} × 3^{0} × 4^{0} = 1 × 1 × 1 = 1.

Question 40.

The value of 2^{8} is

(a) 1024

(b) 256

(c) 512

(d) 128

## Answer

Answer: (b) 256

Question 41.

Simplify 0 × 10^{2}.

(a) 0

(b) 100

(c) 20

(d) None of these

## Answer

Answer: (a) 0

0 is multiplied by any number gives result 0.

Question 42.

Express in exponential form : (2 × 3)^{5}

(a) 3^{0} × 3^{0}

(b) 5^{2} × 5^{3}

(c) 6^{5}

(d) None of these

## Answer

Answer: (c) 6^{5}

(a × b)^{x} = (ab)^{x}.

Question 43.

Express 432 as a product of powers.

(a) 4^{2} × 3^{3}

(b) 2^{4} × 3^{3}

(c) 2^{4} + 3^{4}

(d) None of these

## Answer

Answer: (b) 2^{4} × 3^{3}

Prime factor of 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3.

Question 44.

Which is smaller 2^{10} or 10^{2} ?

(a) 2^{10}

(b) 10^{2}

(c) Both are equal

(d) None of these

## Answer

Answer: (b) 10^{2}

2^{10} = 1024 and 10^{2} = 100, so 10^{2} is smaller than 2^{10}.

Question 45.

Expresses 256 as a power of 2.

(a) 2^{8}

(b) 2 × 8

(c) 2 multiplied 8 times

(d) None of these

## Answer

Answer: (a) 2^{8}

Prime factors of 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2.

Question 46.

The value of (−1)^{75} is

(a) 0

(b) 1

(c) -1

(d) None of these

## Answer

Answer: (c) -1

Question 47.

The value of (−1)^{400} is

(a) 1

(b) 0

(c) -1

(d) None of these

## Answer

Answer: (a) 1

State whether the given statements are True or False.

Question 1.

10 × 10^{11} = 100^{11}

## Answer

Answer: False

Question 2.

2^{3} > 5^{2}

## Answer

Answer: False

Question 3.

2^{3} × 3^{2} = 6^{5}

## Answer

Answer: False

Question 4.

3^{0} = (1000)^{0}

## Answer

Answer: True

Match the following :

1. 72 | (a) 2^{4} × 3^{3} |

2. 1000 | (b) 2^{3} × 3^{2} |

3. 432 | (c) 2^{7} × 5^{3} |

4. 16000 | (d) 2^{3} × 5^{3} |

## Answer

Answer:

1. 72 | (b) 2^{3} × 3^{2} |

2. 1000 | (d) 2^{3} × 5^{3} |

3. 432 | (a) 2^{4} × 3^{3} |

4. 16000 | (c) 2^{7} × 5^{3} |

Match the following :

1. (2 × 3)^{5} | (a) (-4)^{3} × m^{3} |

2. (2a)^{4} | (b) 2^{5} . 3^{5} |

3. (-4m)^{3} | (c) 2^{4} . a^{4} |

## Answer

Answer:

1. (2 × 3)^{5} | (b) 2^{5} . 3^{5} |

2. (2a)^{4} | (c) 2^{4} . a^{4} |

3. (-4m)^{3} | (a) (-4)^{3} × m^{3} |

Match the following :

1. 5985.3 | (a) 2.7 × 10^{5} |

2. 65950 | (b) 5.9853 × 10^{3} |

3. 3430,000 | (c) 6.595 × 10^{4} |

4. 279404 | (d) 3.43 × 10^{6} |

## Answer

Answer:

1. 5985.3 | (b) 5.9853 × 10^{3} |

2. 65950 | (c) 6.595 × 10^{4} |

3. 3430,000 | (d) 3.43 × 10^{6} |

4. 279404 | (a) 2.7 × 10^{5} |

Fill in the blanks.

1. b^{2} × b^{3} = ………..

## Answer

Answer: b^{5}

2. a^{m} × b^{m} = ………..

## Answer

Answer: (ab)^{m}

3. a^{0} = ………..

## Answer

Answer: 1

4. The number 10^{4} is read as ………. raised to the power of ………… .

## Answer

Answer: 10, 4

5. (-1)^{even number} = ………..

## Answer

Answer: 1

6. c^{4} ÷ c^{5} = ………..

## Answer

Answer: c^{-1}

7. 10^{4} is called the ………… of 10000.

## Answer

Answer: exponential form

8. (-1)^{odd number} = ………..

## Answer

Answer: -1

9. c^{7} ÷ c^{7} = ………..

## Answer

Answer: 1

10. Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its ……….. .

## Answer

Answer: standard form

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