Exponents and Powers Test

Result

Exponents and Powers Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

What is the value of (16/81)² ?

A
9/2

B
2/9

C
(2/3)⁸

D
27/8

Solution

16/81 = 2⁴/3⁴= (2/3)⁴⇒ (16/81)²= [(2/3)⁴]²= (2/3)⁸
Question 2
1 / -0

Write 0.1234 in standard form.

A
It's already in standard form

B
1.234 × 10⁻¹

C
12.34 × 10⁻²

D
1234 × 10⁻⁴

Solution

In standard form, any number is expressed in powers of 10. The decimal number must be in between 1 and 10.
0.1234 = 1.234/10 = 1.234 ×10⁻¹
Question 3
1 / -0

What is the result of 2×3⁴×2⁵/9×4²?

A
36

B
42

C
46

D
48

Solution

2×3⁴×2⁵/9×4² = 2⁶×3⁴/3²×2⁴= 2⁶⁻⁴× 3⁴⁻²= 2²3²= 4×9 =36
Question 4
1 / -0

Express 512 × 729 in exponential form:

A
2⁸ x 3³

B
2⁹ x 3⁶

C
2⁷ x 3⁴

D
2⁹ x 3⁷

Solution

512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹

729 = 3 × 3 × 3 × 3 × 3 × 3 = 3⁶

= 2⁹ × 3⁶
Question 5
1 / -0

Solve 9^4x ÷ 3^2x= 2187 .

A
x = 6/7

B
x = −7/6

C
x = 7/6

D
x = −6/7

Solution

9^4x ÷ 3^2x = 2187 ⇒ 6x = 7 ⇒ x = 7/6
Question 6
1 / -0

Express 5126000 in standard form.

A
0.5126 ×10⁷

B
5.126 × 10⁶

C
51.26 × 10⁵

D
5126 × 10³

Solution

In standard form, any number is expressed in powers of 10. The decimal number must be in between 1 and 10.

5.126 × 1000000 = 5.126 × 10⁶
Question 7
1 / -0

Simplify p⁴q³ × p²r⁴ × q⁻² × r³/p⁻³q³r³.

A
p³q⁴r⁷

B
p³q⁴ r¹⁰

C
p⁻⁹ q² r⁻⁴

D
p⁹ q⁻² r⁴

Solution

p⁴q³ × p² r⁴ × q⁻²r³/p⁻³q³ r³ = p⁹q⁻²r⁴
Question 8
1 / -0

If a = 2 and b = 3, find the value of a^b .

A
16

B
32

C
64

D
8

Solution

Putting a = 2 and b =3,

we get 2³ = 2 × 2 × 2 = 8.

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 5

Result

Exponents and Powers Test - 5

Score

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SHARING IS CARING

Question 1

9/2

2/9

(2/3)8

27/8

Solution

Question 2

It's already in standard form

1.234 × 10−1

12.34 × 10−2

1234 × 10−4

Solution

Question 3

36

42

46

48

Solution

Question 4

28 x 33

29 x 36

27 x 34

29 x 37

Solution

Question 5

x = 6/7

x = −7/6

x = 7/6

x = −6/7

Solution

Question 6

0.5126 ×107

5.126 × 106

51.26 × 105

5126 × 103

Solution

Question 7

p3 q4 r7

p3 q4 r10

p−9 q2 r−4

p9 q−2 r4

Solution

Question 8

16

32

64

8

Solution

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(2/3)⁸

1.234 × 10⁻¹

12.34 × 10⁻²

1234 × 10⁻⁴

2⁸ x 3³

2⁹ x 3⁶

2⁷ x 3⁴

2⁹ x 3⁷

0.5126 ×10⁷

5.126 × 10⁶

51.26 × 10⁵

5126 × 10³

p³q⁴r⁷

p³q⁴ r¹⁰

p⁻⁹ q² r⁻⁴

p⁹ q⁻² r⁴