Exponents and Powers Test

Result

Exponents and Powers Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

The value of (3⁰ − 2⁰) × 52 is:

A
1

B
25

C
0

D
9

Solution

Anything raised to power 0 is 1.

3⁰ = 2⁰ = 1

(1-1) x 25 = 0
Question 2
1 / -0

{(3/4)⁻¹−(1/4)⁻¹}⁻¹=?

A
3/8

B
−3/8

C
8/3

D
−8/3

Solution

{(3/4)⁻¹−(1/4)⁻¹}⁻¹= {4/3−4}⁻¹= {−8/3}⁻¹= −3/8
Question 3
1 / -0

What is the value of 2⁷ × 5³ ?

A
7500

B
16000

C
11200

D
14000

Solution

Expand 2⁷ × 5³and find the product of the prime factors.
2⁷× 5³= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 = 128 × 125 = 16000
Question 4
1 / -0

{(1/3)⁻³−(1/2)⁻³} ÷ (1/4)⁻³=?

A
19/64

B
64/19

C
27/16

D
16/27

Solution

{(1/3)⁻³−(1/2)⁻³} ÷ (1/4)⁻³ = {(3)³−(2)³} ÷ (4)³={27−8}÷64 = 19/64
Question 5
1 / -0

If (3/2)²× (3/2)^a+5= (3/2)⁸, then a =____.

A
−1

B
0

C
1

D
2

Solution

(3/2)²× (3/2)^a+5= (3/2)⁸ ⇒ (3/2)^a+7= (3/2)⁸
On comparing, we get, a+7= 8 ⇒ a =1
Question 6
1 / -0

Express (−2)³÷ m³ in the form (a/b)^m.

A
−2³/m³

B
(−2/m)³

C
(−2)³/m³

D
−(2/m) (−2/m)

Solution

a^m + b^m = (a/b)^m → (−2)³+ m³= (−2/m)³
Question 7
1 / -0

Find the value of 5³ × 2³ :

A
10³

B
1

C
10

D
1000

Solution

Notice that here the two terms 5³ and 2³ have different bases, but same exponents.

5³ × 2³ = (5 × 5 × 5) × (2 × 2 × 2)

= (5 × 2) × (5 × 2) × (5 × 2)

= 10³ = 1000
Question 8
1 / -0

The value of (3³ × 2³ × 5⁰) is:

A
216

B
215

C
210

D
219

Solution

Expanding the terms

3³ = 27

2³ = 8

5⁰ = 1

27 × 8 × 1 = 216
Question 9
1 / -0

The value of (23/25)⁰× (−1/2)⁵× 2³× (3/4)²is

A
−9/64

B
9/64

C
64/9

D
−64/9

Solution

(23/25)⁰× (−1/2)⁵× 2³× (3/4)² = 1 × (−1)⁵× (2)⁻⁵× 2³× 3²× (2)⁻⁴

= −9/64

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 4

Result

Exponents and Powers Test - 4

Score

-

Rank

-

SHARING IS CARING

Question 1

1

25

0

9

Solution

Question 2

3/8

−3/8

8/3

−8/3

Solution

Question 3

7500

16000

11200

14000

Solution

Question 4

19/64

64/19

27/16

16/27

Solution

Question 5

−1

0

1

2

Solution

Question 6

−23/m3

(−2/m)3

(−2)3/m3

−(2/m) (−2/m)

Solution

Question 7

103

1

10

1000

Solution

Question 8

216

215

210

219

Solution

Question 9

−9/64

9/64

64/9

−64/9

Solution

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Question Analysis

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−2³/m³

(−2/m)³

(−2)³/m³

10³