Exponents and Powers Test

Result

Exponents and Powers Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Mr Gupta asked two of his students to solve the expression (9a³b⁻⁸/81a⁻⁵b²)−12and write the answer on blackboard. Aryan wrote the answer as 3a⁻⁴b⁵ whereas Ayan wrote the answer as 3b⁵/a⁴. Who wrote the correct answer?

A
Aryan

B
Ayan

C
Both of them

D
None of these

Solution

We have, (9a³b⁻⁸/81a⁻⁵b²)^−1/2= (81a⁻⁵b²/9a³b⁻⁸)^1/2 =(9a⁻⁵a⁻³/b²b⁶)^1/2 =(9a⁻⁸b¹⁰)^1/2= 3a⁻⁴b⁵
Question 2
1 / -0

3 × 1000 + 2 × 10 + 4/10 + 3/1000 is the expanded form of the number ____.

A
3200.430

B
3002.403

C
32.430

D
3020.403

Solution

3 × 1000 + 2 × 10 + 4/10 + 3/1000 = 3000 + 20 + 0.4 + 0.003 = 3020.403
Question 3
1 / -0

Express 343 as a power of 7.

A
7²

B
7³

C
7⁴

D
7⁰

Solution

7 × 7 × 7 = 343
so, 343 = 7³
Question 4
1 / -0

Which of the following is true?

A
10 × 10¹¹= 100¹¹

B
2³× 3² = 6⁵

C
2³ > 3²

D
p⁰= 1000⁰

Solution

p⁰ = (1000)⁰= 1
Question 5
1 / -0

A Find the value of 2⁰ + 3⁰ + 4⁰.

A
3

B
234

C
1

D
24

Solution

432 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁴ × 3³
Question 6
1 / -0

In power notation, 81/16 can be expressed as ___.

A
(3⁴/2⁴)

B
(3/4)³

C
(3/2)⁴

D
(3/2)³

Solution

3 × 3 × 3 × 3 = 81

2 × 2 × 2 × 2 = 16

So, 81/16 = (3⁴/2⁴)

= (3/2)⁴
Question 7
1 / -0

Find the numerical value of (4096)^−3/4

A
1024

B
1024

C
256

D
1/512

Solution

(4096)^−3/4 = (2¹²) −34 =2⁻⁹ = 1/2⁹ = 1/512
Question 8
1 / -0

The value of a^b− b^a, if a = 3, b = 7 is

A
1825

B
1840

C
1844

D
1850

Solution

a^b− b^a= 3⁷− 7³= 2187−343 =1844

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 2

Result

Exponents and Powers Test - 2

Score

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Rank

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SHARING IS CARING

Question 1

Aryan

Ayan

Both of them

None of these

Solution

Question 2

3200.430

3002.403

32.430

3020.403

Solution

Question 3

72

73

74

70

Solution

Question 4

10 × 1011 = 10011

23 × 32 = 65

23 > 32

p0 = 10000

Solution

Question 5

3

234

1

24

Solution

Question 6

(34/24)

(3/4)3

(3/2)4

(3/2)3

Solution

Question 7

1024

1024

256

1/512

Solution

Question 8

1825

1840

1844

1850

Solution

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7²

7³

7⁴

7⁰

10 × 10¹¹= 100¹¹

2³× 3² = 6⁵

2³ > 3²

p⁰= 1000⁰

(3⁴/2⁴)

(3/4)³

(3/2)⁴

(3/2)³