Exponents and Powers Test

Result

Exponents and Powers Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

If $$x$$ is any non-zero number and $$m < n$$, then $$\displaystyle \frac {x^n}{x^m}$$ is

A
$$\displaystyle \frac {1}{x^{m-n}}$$

B
$$\displaystyle \frac {1}{x^{n-m}}$$

C
$$x^{n-m}$$

D
None of these

Solution

It is given that $$m < n$$
So from the given expression $$ \frac{x ^n}{x^m} = {x^{n-m}}$$
Question 2
1 / -0

Which expression is not equivalent to $$3\times 3\times 3\times 3\times 3\times 3$$?

A
$$3^6$$

B
18

C
$$9^3$$

D
729

Solution

$$ 3\times 3\times 3\times 3\times 3\times 3 = 3^6 = 9^3 = 729$$
Hence, this is not equal to $$18.$$
Question 3
1 / -0

Cube of $$ \left (\displaystyle \frac{1}{5} \right )$$ is

A
$$-125$$

B
$$-\displaystyle \frac{1}{125}$$

C
$$+125$$

D
$$+\displaystyle \frac{1}{125}$$

Solution

$$\displaystyle {\frac{1}{5}\times \frac{1}{5}\times \frac{1}{5} =\frac{1}{125}}$$
Question 4
1 / -0

Fourth power of (-2) is

A
-16

B
-8

C
+8

D
+16

Solution

$$(-2)^4 = -2 \times -2 \times -2 \times -2 = 16$$
Question 5
1 / -0

The expanded form of $$\displaystyle {x} ^{4} $$ is -

A
$$\displaystyle x\quad \times \quad 4 $$

B
$$\displaystyle x\quad \times \quad x\quad \times x\quad $$

C
$$\displaystyle x\quad \times \quad x\quad \times\quad x\quad \times x\quad $$

D
$$x\quad +\quad x \quad+\quad x \quad+\quad x$$

Solution

The expanded form of $$x^4$$ is $$x\times x\times x\times x$$.
Question 6
1 / -0

In $$\displaystyle {x} ^{o} , x$$ is called-

A
Base

B
Power

C
Exponent

D
None of these

Solution

x is base
Question 7
1 / -0

Exponential form of $$\displaystyle (-2)\times (-2)\times (-2)$$

A
$$\displaystyle {3}^ {3} $$

B
$$\displaystyle ({-3})^ {3} $$

C
$$\displaystyle ({-2})^ {3} $$

D
None of these

Solution

-$$\displaystyle -2\times -2\times -2 = (-2)^{1+1+1}= {-2}^ {3} $$
Question 8
1 / -0

$$a^0=1$$ is true for all $$a$$ except

A
$$-1$$

B
negative integers

C
0

D
1

Solution

The correct answer is C

A. $${ (-1 )}^{ 0 }=1$$

B. $${ (-2) }^{ 0 }=1$$

C. $${ 0 }^{ 0 }$$ is not defined.

D. $${ 1 }^{ 0 }=1$$
Question 9
1 / -0

$$\displaystyle {6} ^{8} $$, 8 is -

A
Base

B
Number

C
Power

D
None of these

Solution

8 is power
Question 10
1 / -0

$$\displaystyle ({-1})^{8} = $$ value is -

A
$$-1$$

B
$$0$$

C
$$+1$$

D
None of these

Solution

$$\displaystyle ({-1})^{2n} = 1 $$
$$\therefore$$ $$\displaystyle ({-1})^{8} = 1 $$

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 9

Result

Exponents and Powers Test - 9

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SHARING IS CARING

Question 1

$$\displaystyle \frac {1}{x^{m-n}}$$

$$\displaystyle \frac {1}{x^{n-m}}$$

$$x^{n-m}$$

None of these

Solution

Question 2

$$3^6$$

18

$$9^3$$

729

Solution

Question 3

$$-125$$

$$-\displaystyle \frac{1}{125}$$

$$+125$$

$$+\displaystyle \frac{1}{125}$$

Solution

Question 4

-16

-8

+8

+16

Solution

Question 5

$$\displaystyle x\quad \times \quad 4 $$

$$\displaystyle x\quad \times \quad x\quad \times x\quad $$

$$\displaystyle x\quad \times \quad x\quad \times\quad x\quad \times x\quad $$

$$x\quad +\quad x \quad+\quad x \quad+\quad x$$

Solution

Question 6

Base

Power

Exponent

None of these

Solution

Question 7

$$\displaystyle {3}^ {3} $$

$$\displaystyle ({-3})^ {3} $$

$$\displaystyle ({-2})^ {3} $$

None of these

Solution

Question 8

$$-1$$

negative integers

0

1

Solution

Question 9

Base

Number

Power

None of these

Solution

Question 10

$$-1$$

$$0$$

$$+1$$

None of these

Solution

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