Exponents And Powers Test

Result

Exponents And Powers Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The value of is

A

B

C

D

Solution
Question 2
1 / -0

When simplified, becomes _________.

A

B

C

D

Solution
Question 3
1 / -0

The value of at is

A

B

C

D

Solution

At p = 4:
Question 4
1 / -0

Simplify the following expression:

A

B

C

D

Solution
Question 5
1 / -0

If , then find the value of p, where p > 0.

A

B

C

D

Solution

[since p > 0]
Question 6
1 / -0

Find the value of .

A

B

C

D

Solution
Question 7
1 / -0

If , then find the value of .

A

B

C

D

Solution

So,
Question 8
1 / -0

If , then the value of is ______.

A
1

B
2

C
3

D
4

Solution

So, we can say that
Question 9
1 / -0

Which of the following values are equal?

A
(A) and (B)

B
(B) and (D)

C
(C) and (D)

D
(C) and (B)

Solution

(A)

(B)

(C)

(D)
Question 10
1 / -0

The value ofis _______.

A

B

C

D

Solution

We have,
Question 11
1 / -0

In standard form, can be expressed as

A

B

C

D

Solution
Question 12
1 / -0

If and , then is equal to _____.

A
1

B
3

C
5

D
7

Solution

As the base is the same on both sides, we can write

... (1)

Also,

As the base is the same on both sides, we get

... (2)

Adding equations (1) and (2), we get

Putting the value of a as 3 in equation (2), we get
Question 13
1 / -0

If and , then the value of is

A

B

C

D

Solution

As the bases are same on both sides, we have
... (1)
... (2)
... (3)

Putting the values of 'q' and from (1) and (3) in (2), we get
Question 14
1 / -0

Find the value of , if .

A
-2

B
2

C
3

D
1

Solution

The bases are same, so powers will be equal.
Question 15
1 / -0

The diameter of a planet X is 1.4 × 10⁸ metres and that of another planet Y is 1.2768 × 10⁹ metres. Find the approximate ratio of the diameter of planet X to that of planet Y.

A

B

C

D

Solution

Diameter of planet X : Diameter of planet Y
Question 16
1 / -0

A retinal ganglion cell is a type of neuron located near the inner surface of the retina of the eye. Its size is 31,86,000 nm. Express its size in standard form and mark the correct option.

A

B

C

D

Solution

31,86,000 nm
Question 17
1 / -0

The population of a specific country doubles itself after every 10 years. What would be the population of that country after 60 years?

A
2⁶ times the initial population

B
2⁸ times the initial population

C
2⁴ times the initial population

D
2¹⁰ times the initial population

Solution

Let the initial population be x.
Population after 10 years = 2x
Population after 20 years = 2(2x) = 4x = 2²x
Population after 30 years = 2(4x) = 8x = 2³x
Population after 40 years = 2(8x) = 16x = 2⁴x
Population after 50 years = 2(16x) = 32x = 2⁵x
Population after 60 years = 2(32x) = 64x = 2⁶x
Question 18
1 / -0

The size of a plant cell is . The size of the plant cell in usual form is

A
0.00001275 m

B
0.001275 m

C
0.01275 m

D
0.0001275 m

Solution

The size of the plant cell is .

Or
Question 19
1 / -0

The mass of an atom of Lead is and the mass of an atom of Hydrogen is . What is the total mass of both in standard form?

A

B

C

D

Solution

Mass of an atom of Lead + Mass of an atom of Hydrogen
kg
Question 20
1 / -0

Simplify:

A

B

C

D

Solution
Question 21
1 / -0

Solve for n:

A
3

B
2

C
1

D
5

Solution

As the bases are same on both sides, we have
Question 22
1 / -0

Fill in the blanks:

(i) If , then ___A___.

(ii) If , then ___B___.

(iii) If m , then ___C___.

A

B

C

D

Solution

So,