Exponents and Powers Test

Result

Exponents and Powers Test - 13

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Weekly Quiz Competition

Question 1
1 / -0

Solve 81^2x = (729)²

A
x=3/4

B
x=2/3

C
x=5/6

D
x=3/2

Solution

81^2x = (72)² = (81 × 9)² = (81)² × 9² = (81)² × 81 = 81³ = 2x = 3 ⇒ x = 3/2.
Question 2
1 / -0

Which of the following has the same value of 3⁶ × (3⁻²)² × (2³)² × (2⁻²)³

A
9⁴

B
9

C
9²

D
9³

Solution

3⁶ × (3⁻²)² × (2³)² × (2⁻²)³ = 3⁶ × 3⁻⁴ × 2⁶ × 2⁻⁶ = 3⁶⁻⁴ × 2⁶⁻⁶ = 3² × 1 = 9.
Question 3
1 / -0

The value of x so that (2/7)⁴. (2/7)³= (2/7)^4x−1 is

A
1

B
2

C
3

D
4

Solution

(2/7)⁴ ∙ (2/7)³ = (2/7)^4x−1 ⇒ (2/7)⁷ = (2/7)^4x−1 ⇒ 7 = 4x − 1 ⇒ x = 2
Question 4
1 / -0

Avogadro number is written as 602,000,000,000,000,000,000,000, Express this number in standard form.

A
6.02×10²³

B
6.02×10²¹

C
602.0×10²¹

D
0.602×10²³
Question 5
1 / -0

What is the simplified form of ( − 6xy)⁶ ÷ ( − 6xy)² ?

A
(−6xy)⁶

B
(−6xy)⁸

C
(−6xy)

D
(−6xy)⁴

Solution

( − 6xy)⁶ ÷ ( − 6xy)²=(−6xy)⁶⁻² = ( − 6xy)⁴
Question 6
1 / -0

A number in standard form in written as 6.6×10⁶. It can also be written as:

A
6666666

B
66000

C
6600000000

D
6600000
Question 7
1 / -0

The speed of light is 300,000,000 ms⁻¹ Express it in standard form.

A
3.0×10⁸ ms⁻¹

B
3.0×10¹⁰ms⁻¹

C
3.0×10⁶ms⁻¹

D
3.0×10¹²ms⁻¹
Question 8
1 / -0

Which is greater 4³ or 3⁴?

A
4³

B
3⁴

C
Both are equal

D
cannot be determined

Solution

4³ = 4 × 4 × 4 = 64 3⁴ = 3 × 3 × 3 × 3 = 81.
Question 9
1 / -0

Solve (4⁵)^x = (4⁴)^x ÷ 4²

A
x=4

B
x=−2

C
x=−3

D
x=2

Solution

(4⁵)^x = 4^5x (4⁴)^x = 4^4x ∴ = 4^5x = 4^4x−2 ⇒ 5x = 4x − 2 ⇒ x = −2

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 13

Result

Exponents and Powers Test - 13

Score

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Rank

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SHARING IS CARING

Question 1

x=3/4

x=2/3

x=5/6

x=3/2

Solution

Question 2

94

9

92

93

Solution

Question 3

1

2

3

4

Solution

Question 4

6.02×1023

6.02×1021

602.0×1021

0.602×1023

Question 5

(−6xy)6

(−6xy)8

(−6xy)

(−6xy)4

Solution

Question 6

6666666

66000

6600000000

6600000

Question 7

3.0×108 ms−1

3.0×1010ms−1

3.0×106ms−1

3.0×1012ms−1

Question 8

43

34

Both are equal

cannot be determined

Solution

Question 9

x=4

x=−2

x=−3

x=2

Solution

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9⁴

9²

9³

6.02×10²³

6.02×10²¹

602.0×10²¹

0.602×10²³

(−6xy)⁶

(−6xy)⁸

(−6xy)⁴

3.0×10⁸ ms⁻¹

3.0×10¹⁰ms⁻¹

3.0×10⁶ms⁻¹

3.0×10¹²ms⁻¹

4³

3⁴