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

1. **Express 729 as a power of 3.**

(a) 3^{8}

(b) 3^{6}

(c) 9^{3}

(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 2 ^{2} × 2^{5}**

(a) 2

^{3}

(b) 2

^{7}

(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 3 ^{7} 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 is …………… .**

(a) 49

(b) 5

(c) 7

(d) -14

9. **Fill in the Blank a ^{m} ÷ a^{n} – 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) 4a

^{3}

b) 16a

^{4}

(c) 2a

^{4}

(d) 8a

^{4}

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 × 10^{8} 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 8 ^{10} 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) 2^{6}

(b) 16^{2}

(c)

(d) 2^{4}

20. **1024 in exponential form is …………… .**

(a) 2^{6}

(b) 16^{2}

(c)

(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 is …………….. .

5. The standard form of 2156000 is …………….. .

### Grade 7 Maths Exponents and Powers Match of column:

Column I | Column II |

1. x^{m} × x^{n} |
a. x^{mn} |

2. x^{m} ÷ x^{n} |
b. 1 |

3. (x^{m})^{n} |
c. (xy)^{n} |

4. x^{n} × x^{n} |
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. (2^{6} ÷ 2^{-3}) × 2^{14} = 2^{x}

### Grade 7 Maths Exponents and Powers Long Answer Type Questions

1. Simplify and write the answer in scientific rotation :

(a) (5 × 10^{3}) × (3 × 10^{5})

(b)

2. Find m for the following:

(a) = (2)^{m}

(b) (7)^{3} ÷ (2)^{m} =

3. Using the standard form, write number 73984 in expanded form.