G7 Exponents and Powers - Math and Science Olympiad trainer and online tutoring

/20

G7 Exponents and Powers

Math quiz helps us to enhance brains neural network.

1 / 20

1) Ananya was asked to write the value of ((2³)² × 7²)/ (4² × 7).
By mistake, she wrote the value of ((2⁵)² × 7²)/ (8² × 7).
Find the difference between the obtained value and the actual value.

A) 84

B) 112

C) 56

D) 168

2 / 20

2) Simplify:

A) 3

B) 4

C) 5

D) 6

3 / 20

3) Read the given statements carefully and select the
correct option.

A) Both Statement-1 and Statement-2 are false

B) Statement-1 is false but Statement-2 is true

C) Both Statement-1 and Statement-2 are true

D) Statement-1 is true but Statement-2 is false

4 / 20

4) Find the value of:

A) 10^-4

B) 10^-6

C) 10^-5

D) 10^-7

5 / 20

5) Find the value of:

A) -1/2

B) 2

C) 1

D) -3/2

6 / 20

6) Which of the following statements is true?

A) Any number raised to the power of 1 is 1.

B) Any non-zero number raised to the power of 0 is 0.

C) Any non-zero number raised to the power of 0 is 1.

D) 70⁰ = 0

7 / 20

7) Which of the following statement(s) is/are true?

P. 7⁰ − 3⁰ + 1⁰ = 1

Q. If 5^x+2 = 5⁷, then x = 5.

A) Only P is true

B) None are true

C) Both are true

D) Only Q is true

8 / 20

8) (6²⁰ + 6²¹ + 6²² + 6²³) is divisible by:

A) 5

B) 6

C) 7

D) 11

9 / 20

9) If (9/4)^1−x × (2/3)^−x = 3/2, then the value of x is:

A) 2

B) 4

C) 1

D) 3

10 / 20

10) Simplify:
(3² × 9³) ÷ 27²

A) 9

B) 27

C) 1

D) 81

11 / 20

11) If
3ˣ = 81,
find x + 1.

A) 4

B) 6

C) 5

D) 0

12 / 20

12) Simplify:

(3²)³]²

A) 3¹⁰

B) 3⁶

C) 3⁹

D) 3¹²

13 / 20

13) What is the value of (a⁰ + b⁰) (where (a ≠ 0), (b ≠ 0))?

A) 2

B) 0

C) 1

D) Depends on (a) and (b)

14 / 20

14) Which of the following is equal to 1?

A) 0⁰

B) 2⁰ + 3⁰ – 1

C) 5^-1 + 3⁰ + 5

D) 10⁰ + 3⁰ – 10

15 / 20

15) Simplify:

(xy²)³ ÷ y⁴

A) x³y⁶

B) 1

C) x³y²

D) x²y³

16 / 20

16) Match the following:

A) (i) P (ii) Q (iii) R

B) (i) Q (ii) P (iii) R

C) (i) P (ii) R (iii) Q

D) (i) R (ii) Q (iii) P

17 / 20

17) Which is equivalent to (2⁵)3?

A) 128

B) 96

C) 64

D) 60

18 / 20

18) Simplify:

(2²× 5² ) × (2²× 5⁻¹ )

A) 160

B) 800

C) 20

D) 64

19 / 20

19) Simplify: (2² x 5² ) x (2³ x 5⁻¹ )

A) 80

B) 320

C) 200

D) 160

20 / 20

20) Robot doubles output each hour.
Hour 10: 512 parts.
When did it make 8 parts?

A) Hour 3

B) Hour 4

C) Hour 5

D) Hour 6

Home

Back to Practice Test

This content is restricted to site members. If you are an existing user, please log in. New users may register below.