Exponents and Powers Test

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Exponents and Powers Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Find the multiplicative inverse of2− 4².

A
2³

B
2⁵

C
2²

D
2⁴

Solution

Explanation:

Multiplicative inverse of 2^-4 =1/2^-4

= i. e 2⁴
Question 2
1 / -0

Simplify and write in exponential form: (−2)−³× (−2)− ⁴

A
(2)⁷

B
(−2)⁷

C
(2)−⁷

D
(−2)−⁷

Solution

Explanation:

(-2)^(-3-4) = (-2)^(-7)
Question 3
1 / -0

Evaluate the exponential expression (−b)4× (−b)5,forb= 4.

A
-282144

B
-262144

C
282144

D
262144

Solution

Explanation:

(-4)⁴x (-4)⁵

=256 x - 1024

= -262144
Question 4
1 / -0

Find the value of the expression a² for a = 10.

A
100

B
10

C
1000

D
1

Solution

Explanation:

a =10,

a²= 10²

10x10 =100
Question 5
1 / -0

Evaluate: 8²

A
512

B
30

C
64

D
8

Solution

Explanation:

8 X 8 =64
Question 6
1 / -0

(−2)⁵÷ (−2)⁸= ?

A
−1/5

B
−1/2

C
−1/8

D
1/8

Solution

Explanation:

(-2)^(5-8) = (-2)^(-3) = 1/(-2)³ = - 1/8
Question 7
1 / -0

When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.

A
different

B
same

C
Negative

D
not equal

Solution

Explanation:

Since addition of numbers with different exponents leads incorrect results.
Question 8
1 / -0

The repeated factor in an exponential expression is called ____.

A
base

B
power

C
None of these

D
exponent

Solution

Explanation:

In an exponent the base is raised to the power as r^p

^{where r is a base and p is exponent or power.}
Question 9
1 / -0

Write the expression using exponents: 61 × 61 × 61 × 61 × 61

A
61⁴

B
61⁵

C
61²

D
61³

Solution

Explanation:

61⁽¹⁾x 61⁽¹⁾x61⁽¹⁾x61⁽¹⁾x61⁽¹⁾

=61^(1+1+1+1+1)

=61⁽⁵⁾
Question 10
1 / -0

A group of students were given an assignment to collect different types of leaves. The group collected32 types of leaves. Represent the number of leaves collected in the form of exponential expression with its base being indivisible.

A
2⁴

B
2⁵

C
2⁶

D
2³

Solution

Explanation:

prime factorisation of 32 are 2,2,2,2,2

32 = 2x2x2x2x2

= 2⁵

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 1

Result

Exponents and Powers Test - 1

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SHARING IS CARING

Question 1

23

25

22

24

Solution

Question 2

(2)7

(−2)7

(2)−7

(−2)−7

Solution

Question 3

-282144

-262144

282144

262144

Solution

Question 4

100

10

1000

1

Solution

Question 5

512

30

64

8

Solution

Question 6

−1/5

−1/2

−1/8

1/8

Solution

Question 7

different

same

Negative

not equal

Solution

Question 8

base

power

None of these

exponent

Solution

Question 9

614

615

612

613

Solution

Question 10

24

25

26

23

Solution

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2³

2⁵

2²

2⁴

(2)⁷

(−2)⁷

(2)−⁷

(−2)−⁷

61⁴

61⁵

61²

61³

2⁴

2⁵

2⁶

2³