Exponents and Powers Test

Result

Exponents and Powers Test - 15

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Write $$4.5\times 10^5$$ in decimal form

A
$$450000$$

B
$$45000$$

C
$$4500$$

D
$$4500000$$

Solution

$$4.5\times 10^5=450000$$
Ans-Option $$A$$.
Question 2
1 / -0

In $$10^{2}$$, the exponent is

A
$$2$$

B
$$1$$

C
$$10$$

D
$$100$$

Solution

In the expression $$a^b$$, $$a$$ is known as base and $$b$$ is known as exponent so, in $$10^2$$, $$2$$ is the exponent.
Question 3
1 / -0

Write in scientific notation: $$(400000)^4$$

A
$$6.4\times 10^{20}$$

B
$$2.56\times 10^{20}$$

C
$$2.56\times 10^{22}$$

D
$$6.4\times 10^{19}$$

Solution

$$(400000)^4=4^4\times 10^{20}$$
$$\Rightarrow (400000)^4=256\times 10^{20}=2.56\times 10^{22}$$
Ans-Option $$C$$.
Question 4
1 / -0

Write the following in scientific notation: $$(200)^3$$

A
$$4\times 10^4$$

B
$$8\times 10^6$$

C
$$6\times 10^6$$

D
$$8\times 10^8$$

Solution

$$(200)^3=2^3\times 10^6$$
$$\Rightarrow (200)^3=8\times 10^6$$
Ans-Option $$B$$.
Question 5
1 / -0

Write $$1000000+200000+70000$$ in scientific notation.

A
$$1.27\times 10^5$$

B
$$1.27\times 10^6$$

C
$$3.7\times 10^6$$

D
$$1.9\times 10^5$$

Solution

$$1000000+200000+70000=1270000$$
$$\therefore 12700000=1.27\times 10^6$$
Ans-Option $$B$$.
Question 6
1 / -0

Simplify :
$$\dfrac {x^{30}}{x^{10}}$$

A
$$x^{20}$$

B
$$x^{40}$$

C
$$x^{-40}$$

D
$$x^{-20}$$

Solution

Using law of exponent $$\dfrac {a^m}{a^n}=(a)^{m-n}$$ Where, $$a$$ is non-zero integer
Therefore, $$\dfrac {(x)^{30}}{(x)^{10}}=(x)^{30-10}=(x)^{20}$$
Question 7
1 / -0

Simplify the following using law of exponents.
$$2^{10}\times 2^4$$

A
$$2^{10}$$

B
$$2^{12}$$

C
$$2^{13}$$

D
$$2^{14}$$

Solution

we know that,

$$\because a^m \times a^n=a^{m+n}$$

so,
$$2^{10}\times 2^4$$

$$=2^{10+4}$$

$$=2^{14}$$
Question 8
1 / -0

Simplify the following using law of exponents.
$$(3^2)\times (3^2)^4$$

A
$$3^{10}$$

B
$$3^{25}$$

C
$$3^{5}$$

D
$$3^{6}$$

Solution

we know that,

$$\because a^m*a^n=a^{m+n}$$

and

$$\because (a^m)^n=a^{mn}$$

so,

$$(3^2)*(3^2)^4=(3^2)(3^8)$$

$$=3^{10}$$
Question 9
1 / -0

Simplify the following using law of exponents.
$$\dfrac{5^7}{5^2}$$

A
$$5^5$$

B
$$5^{20}$$

C
$$5^{50}$$

D
$$5^{15}$$

Solution

we know,

$$\dfrac{a^{m}}{a^{n}}=a^{m-n}$$

so,

$$\dfrac{5^{7}}{5^{2}}=5^{7-2}$$

$$=5^{5}$$
Question 10
1 / -0

Evaluate $$2^0+3^0$$

A
$$2$$

B
$$3$$

C
$$5$$

D
$$1$$

Solution

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 15

Result

Exponents and Powers Test - 15

Score

-

Rank

-

SHARING IS CARING

Question 1

$$450000$$

$$45000$$

$$4500$$

$$4500000$$

Solution

Question 2

$$2$$

$$1$$

$$10$$

$$100$$

Solution

Question 3

$$6.4\times 10^{20}$$

$$2.56\times 10^{20}$$

$$2.56\times 10^{22}$$

$$6.4\times 10^{19}$$

Solution

Question 4

$$4\times 10^4$$

$$8\times 10^6$$

$$6\times 10^6$$

$$8\times 10^8$$

Solution

Question 5

$$1.27\times 10^5$$

$$1.27\times 10^6$$

$$3.7\times 10^6$$

$$1.9\times 10^5$$

Solution

Question 6

$$x^{20}$$

$$x^{40}$$

$$x^{-40}$$

$$x^{-20}$$

Solution

Question 7

$$2^{10}$$

$$2^{12}$$

$$2^{13}$$

$$2^{14}$$

Solution

Question 8

$$3^{10}$$

$$3^{25}$$

$$3^{5}$$

$$3^{6}$$

Solution

Question 9

$$5^5$$

$$5^{20}$$

$$5^{50}$$

$$5^{15}$$

Solution

Question 10

$$2$$

$$3$$

$$5$$

$$1$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.