Olympiad Test: Exponents and Powers

QUESTION: 1

The value of (−1)²⁵⁰ is

A.
1
B.
-1
C.
0
D.
None of these

Solution:

QUESTION: 2

The value of (−1)⁷⁵ is

A.
0
B.
1
C.
-1
D.
None of these

Solution:

QUESTION: 3

The value of (−1)⁴⁵⁰ is

A.
1
B.
-1
C.
0
D.
None of these

Solution:

QUESTION: 4

The value of (−1)⁹¹ is

A.
1
B.
0
C.
-1
D.
None of these

Solution:

QUESTION: 5

The value of (−1)³¹⁰ is

A.
1
B.
-1
C.
0
D.
None of these

Solution:

Since the power is an even integer , the minus sign will get cancelled. So we will receive 1 only.

QUESTION: 6

The value of 2⁸ is

A.
1024
B.
256
C.
512
D.
128

Solution:

QUESTION: 7

Simplify and write in exponential form of 2²x 2⁵

A.
2⁷
B.
2⁵
C.
2⁸
D.
None of these

Solution:

QUESTION: 8

Simplify and write in exponential form of (− 4)¹⁰⁰× (−4)²⁰

A.
(-4)¹⁰⁰
B.
(-4)¹²⁰
C.
(-4)²⁰
D.
None of these

Solution:

When bases are same, powers are added. So we will add powers
(-4)¹⁰⁰(-4)²⁰=(-4)¹²⁰

QUESTION: 9

Simplify and write in exponential form of 5²× 5⁷× 5¹²

A.
5¹²
B.
5¹⁸
C.
5²¹
D.
None of these

Solution:

QUESTION: 10

The value of 2² is

A.
5
B.
4
C.
3
D.
None of these

Solution:

QUESTION: 11

The exponent in the expression 3⁷ is _______

A.
7
B.
3
C.
1
D.
None of these

Solution:

3 raised to the power of 7 here three is called base and other one is exponent.

QUESTION: 12

The value of 3⁰ is ________ .

A.
1
B.
3
C.
9
D.
None of these

Solution:

QUESTION: 13

The value of 5⁰ is ________ .

A.
10
B.
1
C.
5
D.
None of these

Solution:

QUESTION: 14

The value of 7⁰ is ________ .

A.
7
B.
21
C.
1
D.
None of these

Solution:

QUESTION: 15

The value of 11⁰ is ________ .

A.
3
B.
11
C.
1
D.
None of these

Solution:

QUESTION: 16

Multiplicative inverse of 1/5 is

A.
10
B.
3
C.
5
D.
None of these

Solution:

QUESTION: 17

Multiplicative inverse of 1/7 is

A.
14
B.
7
C.
49
D.
None of these

Solution:

QUESTION: 18

Multiplicative inverse of 1/3 is

A.
10
B.
3
C.
2
D.
None of these

Solution:

QUESTION: 19

Multiplicative inverse of 9 is

A.
1/9
B.
9
C.
3
D.
None of these

Solution:

QUESTION: 20

Multiplicative inverse of 21 is

A.
21
B.
7
C.
1/21
D.
None of these

Solution:

Multiplicative inverse means is a number which when multiplied by x yields the multiplicative identity, 1. A number multiplied by 21 wich give 1 is the reciprocal of 21 which is 1/21

20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Olympiad Test: Exponents and Powers

The value of (−1)²⁵⁰ is

The value of (−1)⁷⁵ is

The value of (−1)⁴⁵⁰ is

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