Power Play Class 8 MCQ Maths Chapter 2

Students often review Class 8 Maths MCQ and Class 8 Maths Chapter 2 Power Play MCQ Questions Online Test with Answers for quick revisions before tests.

MCQ on Power Play Class 8

Power Play MCQ Class 8

Class 8 Maths MCQ Chapter 2 Power Play

Multiple Choice Questions

Question 1.
Which of the following is equal to 2⁵ × 3²?
(a) 96
(b) 144
(c) 288
(d) 192
Answer:
(c) 288

Question 2.
What is the value of 7³ ÷ 7?
(a) 7
(b) 49
(c) 343
(d) 49 × 7
Answer:
(b) 49

Question 3.
How many 4-digit codes can be formed using digits 0-9 (repetition allowed)?
(a) 1000
(b) 10,000
(c) 9,000
(d) 100
Answer:
(b) 10,000

Question 4.
(-2)⁶ × (-3)² is equal to:
(a) 144
(b) -144
(c) 36
(d) -36
Answer:
(a) 144

Question 5.
81 can be expressed as:
(a) 9²
(b) 3⁴
(c) 27³
(d) 3³
Answer:
(b) 3⁴

Question 6.
Which is a perfect sixth power?
(a) 729
(b) 64
(c) 729⁶
(d) 1
Answer:
(d) 1

Question 7.
The value of 24 is
(a) 8
(b) 4
(c) 16
(d) 32
Answer:
(c) 16

Question 8.
The value of 10^-10 is
(a) \(\frac{1}{2}\)
(b) \(\frac{1}{2}\)
(c) (100)^-10
(d) 1000
Answer:
(a) \(\frac{1}{2}\)

Question 9.
The value of 5² x 5^-2 is
(a) 1
(b) 5
(c) 5⁴
(d) 5^-4
Answer:
(a) 1

Question 10.
The value of (-9)³ + (-9)⁸ is equal to
(a) (-9)⁵
(b) (-9)^-5
(c) 9⁵
(d) 9^-5
Answer:
(b) (-9)^-5

Question 11.
The exponential form of 625 is
(a) 5³
(b) 5²
(c) 5⁴
(d) 5⁵
Answer:
(c) 5⁴

Question 12.
A lock uses 4 slots with digits 0-9. How many combinations are possible?
(a) 10³
(b) 10⁴
(c) 4¹⁰
(d) 9⁴
Answer:
(b) 10⁴

Question 13.
If there are 3 × 10¹² trees and each tree has about 104 leaves, what is the total number of leaves?
(a) 3 × 10¹⁶
(b)3 × 10⁸
(c) 30 × 10¹²
(d) 10¹⁸
Answer:
(a) 3 × 10¹⁶

Question 14.
The standard form of 0.000072 is
(a) 72 × 10⁴
(b) 72 × 10^-4
(c) 7.2 × 10⁵
(d) 7.2 × 10^-5
Answer:
(d) 7.2 × 10^-5

Question 15.
The usual form of 2.08 × 10^-5 is
(a) 0.0000208
(b) 0.000028
(c) 0.000208
(d) 0.0002080
Answer:
(a) 0.0000208

Question 16.
The scientific notation of 51.26000 is
(a) 5.126 × 10⁴
(b) 5.126 × 10¹
(c) 5.126 × 10^-4
(d) 5.126 × 10^-6
Answer:
(b) 5.126 × 10¹

Assertion-Reason Type Questions

Question 1.
Assertion (A) When you raise a number to the power of zero, the result is always zero.
Reason (R) Any number raised to the power of zero equals one.
(a) Both A and R are correct and R is the correct explanation of A.
(b) Both A and R are correct but R is not the correct explanation of A.
(c) A is false but R is true.
(d) A is true but R is false.
Answer:
(c) A is false but R is true.

Question 2.
Assertion (A) The standard form of 0.00042 is 42 × 10^-4
Reason (R) In scientific notation, the coefficient must be between 1 and 10 and the exponent shows the number of places the decimal is shifted.
(a) Both A and R are correct and R is the correct explanation of A.
(b) Both A and R are correct but R is not the correct explanation of A.
(c) A is false but R is true.
(d) A is true but R is false.
Answer:
(a) Both A and R are correct and R is the correct explanation of A.

Fill in the blanks

1. 4 × 4 × 4 × 4 = _______________
Answer:
4⁴

2. The value of (-4)² is _______________
Answer:
16

3. 8⁶ ÷ 8³ = _______________
Answer:
8³

4. 100,000 = _______________ × 10⁴
Answer:
1

5. A cube number less than 50 is _______________
Answer:
27

6. The thickness of sheet of paper initially is 0.001 then after 7 folds, the thickness of paper becomes _________ cm.
Answer:
0.128

7. The value of 5° is _________
Answer:
1

8. The number 450 expressed as a product of prime factors in exponential form is _________
Answer:
2 × 3² × 5²

9. One crore in powers of 10 is written as _________
Answer:
10⁷

10. The standard form of 12345000 is _________
Answer:
1.2345 × 10⁷

True/False

Question 1.
Every square number is also a cube.
Answer:
False

Question 2.
The product of two cube numbers is a cube.
Answer:
True

Question 3.
2⁵ × 2⁰ = 2⁵
Answer:
True

Question 4.
0.1² = 0.01
Answer:
True

Question 5.
10⁴ × 10³ = 10⁷
Answer:
True

Question 6.
A number n⁴ is always a perfect square.
Answer:
True

Question 7.
3^-2 = \(\frac{1}{3^2}\)
Answer:
True

Question 8.
When dividing powers of the same base, we multiply the exponents.
Answer:
False

Question 9.
The scientific notation of 59000 is 5.9 × 10⁴.
Answer:
True

Question 10.
The exponential form of 648 is 2⁴ × 3⁴
Answer:
False

Match the Columns

Question 1.
Match the Column I with Column II.

Column I	Column II
(a) 24 + 26	(i) 1
(b) a3 × a5	(ii) \(\frac{1}{4}\)
(c) 3-2	(iii) a8
(d) 43 × 4-3	(iv) \(\frac{1}{9}\)

Answer:

Column I	Column II
(a) 24 + 26	(ii) \(\frac{1}{4}\)
(b) a3 × a5	(iii) a8
(c) 3-2	(iv) \(\frac{1}{9}\)
(d) 43 × 4-3	(i) 1

Subjective Exercise

Question 1.
Expand and simplify: 5² × 5³
Answer:
3125

Question 2.
Find the unit digit of 7²⁰.
Answer:
1

Question 3.
A company produces 12 million chips per year. If each chip needs a unique 6-digit numeric ID, how many total unique IDs are possible?
Answer:
1,000,000

Question 4.
Write 256 as a product of powers of prime factors.
Answer:
2⁸

Question 5.
If you add one apple to a box every day, starting with 2 apples, how many apples will be in the box after 31 days?
Answer:
32

Question 6.
Express 625 as both a square and a cube power if possible.
Answer:
5⁴, (25)²

Question 7.
Which is greater: 3⁶ or 2⁹?
Answer:
3⁶

Question 8.
A robot generates 4-character passwords that use both digits and letters. How many passwords can be formed?
Answer:
36⁴

Question 9.
Write 0.00000032 in scientific notation.
Answer:
3.2 × 10^-7

Question 10.
Explain whether every fourth power is also a square.
Answer:
Always True

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