Exponents and Powers Test

Result

Exponents and Powers Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

Mark the greatest number of all:
$$3.1 \times {10}^{3}$$, $$3 \times {10}^{2}$$ and $$1.1 \times {10}^{5}$$

A
$$3.1 \times {10}^{3}$$

B
$$3 \times {10}^{2}$$

C
$$1.1 \times {10}^{5}$$

D
Can't say anything

Solution

Since we have,
$$3.1 \times {10}^{3}$$, $$3 \times {10}^{2}$$ and $$1.1 \times {10}^{5}$$
$$3.1 \times {10}^{3} = 3.1 \times 1000 = 3100 $$
$$3 \times {10}^{2} = 3 \times 100 = 300 $$
$$1.1 \times {10}^{5} = 1.1 \times 100000 = 110000$$
Cleary, $$110000$$ is greatest number of all
Hence, C is the correct answer.
Question 2
1 / -0

Mark the correct answer:
$$3^2 \times 10^3 \times 30 $$ is less than $$ 8.1 \times {10}^5$$

A
True

B
False

C
Can't say anything

D
None of these

Solution

Since, we have
$$3^2 \times 10^3 \times 30 $$ and $$ 8.1 \times {10}^5$$
$$\Rightarrow 9 \times 1000 \times 30 $$ and $$ 8.1 \times 100000$$
$$\Rightarrow 270000 $$ and $$ 810000$$
Clearly, $$270000$$ is less than $$810000$$
Hence, A will be correct answer.
Question 3
1 / -0

Express $$27$$ in exponential form.

A
$$3^2$$

B
$$3^3$$

C
$$3^4$$

D
none of these

Solution

Since, $$27 = 3 \times 3 \times 3 = 3^3 $$
Hence, B is a correct answer.
Question 4
1 / -0

Fill in the blank:
$$4.1 \times {10}^2$$ is _______ $$ 41 \times {10}^2 $$

A
greater than

B
less than

C
equal to

D
can't say anything

Solution

Given numbers are $$4.1 \times {10}^2$$ and $$ 41 \times {10}^2 $$
$$4.1 \times {10}^2 = 4.1 \times 100 = 410 $$
And
$$ 41 \times {10}^2 = 41 \times 100 = 4100$$
Clearly, $$ 41 \times {10}^2 $$ is greater than $$4.1 \times {10}^2$$
Or we can say $$4.1 \times {10}^2$$ is less than $$ 41 \times {10}^2 $$
Hence, B is the correct answer.
Question 5
1 / -0

Express $$10,000,000$$ in the exponential form.

A
$${10}^{5}$$

B
$${10}^{6}$$

C
$${10}^{7}$$

D
$${10}^{8}$$

Solution

Since, $$10,000,000 = 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 = {10}^7 $$
Hence, C will be correct answer.
Question 6
1 / -0

Choose the correct answer:
The base and exponent in $$7^6$$ are _____ and _____.

A
$$6, 7$$

B
$$6, 6$$

C
$$7, 7$$

D
$$7, 6$$

Solution

In $$7^6$$, $$7$$ is the base and $$6$$ is the exponent.
Question 7
1 / -0

Choose the correct answer:
In $${12}^7$$, ______ is the exponent.

A
$$12$$

B
$$7$$

C
$$2$$

D
none of these

Solution

In $${12}^7$$, $$7$$ is the exponent.
Question 8
1 / -0

Choose the correct answer in place of question mark $$(?)$$in the following expression:
$$121 = {11}^?$$

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

As we know that $$121= 11 \times 11 = {11}^2$$
Hence B is the correct answer.
Question 9
1 / -0

Choose the correct answer in place of question mark $$(?)$$in the following expression:
$$169 = {?}^2$$

A
$$9$$

B
$$11$$

C
$$13$$

D
$$17$$

Solution

As we know that $$169 = 13 \times 13 = {13}^2$$
Hence, C will be correct answer.
Question 10
1 / -0

Find the base and exponent of the $$2x^{3}$$

A
base 3, exponent $$x$$

B
base 2, exponent

C
base $$x$$, exponent 3

D
none of these

Solution

$$2x^3$$
we know syntax $$\textrm{Base}^{\textrm{exponent}}$$

hence $$x$$ is Base and $$3$$ is exponent
Option $$\textbf C$$ is correct

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 18

Result

Exponents and Powers Test - 18

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SHARING IS CARING

Question 1

$$3.1 \times {10}^{3}$$

$$3 \times {10}^{2}$$

$$1.1 \times {10}^{5}$$

Can't say anything

Solution

Question 2

True

False

Can't say anything

None of these

Solution

Question 3

$$3^2$$

$$3^3$$

$$3^4$$

none of these

Solution

Question 4

greater than

less than

equal to

can't say anything

Solution

Question 5

$${10}^{5}$$

$${10}^{6}$$

$${10}^{7}$$

$${10}^{8}$$

Solution

Question 6

$$6, 7$$

$$6, 6$$

$$7, 7$$

$$7, 6$$

Solution

Question 7

$$12$$

$$7$$

$$2$$

none of these

Solution

Question 8

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 9

$$9$$

$$11$$

$$13$$

$$17$$

Solution

Question 10

base 3, exponent $$x$$

base 2, exponent

base $$x$$, exponent 3

none of these

Solution

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