Exponents and Powers Test

Result

Exponents and Powers Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

Express the given number in standard form:
21700000

A
2.1 × 10⁷

B
2.17 × 10⁷

C
1.17 × 10⁷

D
1.1701 × 10⁷

Solution

2.17 × 10000000 = 2.17 × 10⁷
Question 2
1 / -0

What is the value of [(1/4)²− (1/4)²] × 2⁶ ?

A
1

B
2

C
3

D
4

Solution

[(1/4)²− (1/4)³] × 2⁶= 3 × 1/2⁶⁼³× 2⁶
Question 3
1 / -0

Which of the following is equivalent to 7.7×10⁻⁶?

A
0.00000077

B
0.0000077

C
0.000077

D
0.00077

Solution

7.7×10⁻⁶= 7.7100000 = 0.0000077
Question 4
1 / -0

A What is the value of (3⁰− 4⁰) × 5²?

A
25

B
0

C
-25

D
1

Solution

(3⁰−4⁰) × 5²= (1−1) × 5²= 0
Question 5
1 / -0

What is the sum of the powers of the prime factors in 108 × 192?

A
5

B
7

C
8

D
12

Solution

108 = 2³ × 3³ and 192 = 2⁶ × 3¹ ∴ The required sum is 2 + 3 + 6 + 1 = 12
Question 6
1 / -0

The value of (a⁻²×b⁻³/a⁻³×b⁻⁴) is ________.

A
a⁻¹×b

B
a×b⁻¹

C
(ab)⁻¹

D
ab

Solution

(a⁻²×b⁻³/a⁻³×b⁻⁴) = (a⁻²⁺³×b^−3×4) =a×b = ab
Question 7
1 / -0

All the planets revolve around the Sun in elliptical orbits. Uranus's farthest distance from the Sun is approximately 3.004 × 10 km and its closest distance is approximately 2.7499 × 10⁹ km km. What is the average distance of Uranus from the Sun?

A
(2.476 × 10⁹) km

B
(2.8765 × 10⁹) km

C
(2.876 × 10⁸) km

D
None of these

Solution

Distance of Uranus from Sun
=(3.004 × 10⁹) km Uranus closest distance from Sun
=(2.7499 × 10⁹) km Total distance
=3.004 ×10⁹+ 2.7499 × 10⁹
=(5.753×10⁹) km Average distance
=5.753×10⁹/2
=(2.8765 ×10⁹) km
Question 8
1 / -0

What is the value of (12 × 3⁰−8 × 5⁰) ?

A
1/2

B
2

C
4

D
1/4

Solution

Since a⁰ = 1,12 × 3⁰= 12 and 8 × 5⁰= 8.

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 6

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Exponents and Powers Test - 6

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SHARING IS CARING

Question 1

2.1 × 107

2.17 × 107

1.17 × 107

1.1701 × 107

Solution

Question 2

1

2

3

4

Solution

Question 3

0.00000077

0.0000077

0.000077

0.00077

Solution

Question 4

25

0

-25

1

Solution

Question 5

5

7

8

12

Solution

Question 6

a−1×b

a×b−1

(ab)−1

ab

Solution

Question 7

(2.476 × 109) km

(2.8765 × 109) km

(2.876 × 108) km

None of these

Solution

Question 8

1/2

2

4

1/4

Solution

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2.1 × 10⁷

2.17 × 10⁷

1.17 × 10⁷

1.1701 × 10⁷

a⁻¹×b

a×b⁻¹

(ab)⁻¹

(2.476 × 10⁹) km

(2.8765 × 10⁹) km

(2.876 × 10⁸) km