AP 7th Class Maths Bits Chapter 11 Exponents with Answers

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AP State Syllabus 7th Class Maths Bits 11th Lesson Exponents with Answers

Choose the correct answer.

Question 1.
x + x + x + ……. + x(mtimes)=
A) x^m
B) m^x
C) m + x
D) mx
Answer:
D) mx

Question 2.
(- 5) × (- 5) × (- 5) × ………………. × (- 5) (16 times) =
A) (- 5)¹⁶
B) 16^-5
C) 16 – 5
D)16 × (- 5)
Answer:
A) (- 5)¹⁶

Question 3.
(\(\frac{-3}{7}\))⁷ × (\(\frac{-3}{7}\)) ⁶ × (\(\frac{-3}{7}\))^-14 =
A) \(\frac{-3}{7}\)
B) \(\frac{-7}{3}\)
C) \(\frac{3}{7}\)
D) \(\frac{7}{3}\)
Answer:
B) \(\frac{-7}{3}\)

Question 4.
12¹⁶ × 12^-4 =
A) 12¹²
B) 12²⁰
C) 24¹²
D) 12⁶⁴
Answer:
A) 12¹²

Question 5.
\(\frac{x^{17}}{x^{15}}\) =
A) x³²
B) x^-2
C) x²
D) x^1/2
Answer:
C) x²

Question 6.
125 when expressed In exponential form
A) 5²
B) 5³
C) 5⁴
D) 5^-3
Answer:
B) 5³

Question 7.
7^-x = 7^-5 then the value of x is
A) 7
B) – 5
C) – 7
D) 5
Answer:
D) 5

Question 8.
(- 1)¹⁰³ =
A) 1
B) 0
C) -1
D) – 103
Answer:
C) -1

Question 9.
(-1)¹⁰⁶ =
A) 1
B) – 1
C) 106
D) 0
Answer:
A) 1

Question 10.
The exponential form of age of earth is 4550 million years is ………………..
A) 4550 × 10,00,000
B) 455 × 10⁷
C) 5 × 7 × 13 × 10⁷
D) All the above
Answer:
D) All the above

Question 11.
Expanded form of 89325 is …………….
A) (8 × 10⁴) + (9 × 10³) + (3 × 10²) + (2 × 10) + (5 × 1)
B) 8 × 10³ + (9 × 10²) + (3 × 10) + 2 × 1 + 5
C) 10⁴ × 8 + 9 × 10² + 3 × 10 + 2 × 10² + 5 × 1
D) None
Answer:
A) (8 × 10⁴) + (9 × 10³) + (3 × 10²) + (2 × 10) + (5 × 1)

Question 12.
r × r × 7 times = ………………?
A) 7^r
B) 7r
C) r⁷
D) None
Answer:
C) r⁷

Question 13.
If a = 3, b = 2 then the value of a^b + b^a = ………………?
A) 1
B) 17
C) 19
D) 15
Answer:
B) 17

Question 14.
From the above sum what is the value of (a – b)^a = ……………?
A) 1
B) 125
C) -1
D) 0
Answer:
A) 1

Question 15.
The exponent of (5 ab)³ is …………..
A) 5
B) 1
C) ab
D) 3
Answer:
D) 3

Question 16.
Which of the following is correct?
A) 3⁹ × 3⁷ = 3²
B) a^1/2 × a^3/2 = a³
C) p^-2 × p² = p⁴
D) y³ × y⁵ = y⁸
Answer:
D) y³ × y⁵ = y⁸

Question 17.
If k¹⁵ × k^x = k³¹ ⇒ x = …………..?
A) 16
B) 15
C) 1
D) 0
Answer:
A) 16

Question 18.
(2²)³ = ………………
A) 512
B) 64
C) 2²³
D) 256
Answer:
D) 256

Question 19.
Which of the following is not true?
A) x^-7 = \(\frac{1}{x^{7}}\)
B) x⁵ = \(\frac{1}{\mathrm{x}^{-5}}\)
C) x° = 1
D) \(\frac{1}{\mathrm{x}^{-5}}\) = x^1/5
Answer:
D) \(\frac{1}{\mathrm{x}^{-5}}\) = x^1/5

Question 20.
Which of the following is true?
A) \(\frac{13^{8}}{13^{5}}\) = 13¹³
B) (2 × 3)⁴ = 3⁴/2⁴
C) (3²)³ = 3⁶
D) (\(\frac{3}{4}\))⁵ = 3⁵ × 3⁴
Answer:
C) (3²)³ = 3⁶

Question 21.
(- 1)¹⁰¹ + (- 1)¹⁰⁰ = ………………
A) – 1
B) 0
C) 2
D) 1
Answer:
B) 0

Question 22.

A) 2
B) 1
C) 12
D) – 2
Answer:
D) – 2

Question 23.
7^{x + 5}= 1 ⇒ x = ………….
A) 5
B) 0
C) -5
D) 1
Answer:
C) -5

Question 24.
(\(\frac{3}{5}\))⁴ × (\(\frac{3}{5}\))³ × (\(\frac{3}{5}\))⁷
A) (\(\frac{3}{5}\))⁸⁴
B) (\(\frac{3}{5}\))⁷
C) (\(\frac{3}{5}\))¹⁰
D) (\(\frac{3}{5}\))¹⁴
Answer:
D) (\(\frac{3}{5}\))¹⁴

Question 25.
What should be multiplied with 3^-4we will get 729 is …………..?
A) 3¹⁰
B) 3⁹
C) 3¹¹
D) 3⁸
Answer:
A) 3¹⁰

Question 26.
(4° – 3°) × 2° = ……………
A) 2
B) 1
C) 0
D) -1
Answer:
C) 0

Question 27.
\(\frac{x^{\mathbf{a}}}{\mathbf{x}^{\mathbf{b}}} \times \frac{\mathbf{x}^{\mathbf{b}}}{\mathbf{x}^{\mathbf{c}}} \times \frac{\mathbf{x}^{\mathbf{c}}}{\mathbf{x}^{\mathbf{a}}}\) = ………………
A) x^{2(a + b + c)}
B) x^{(a + b + c)}
C) 0
D) 1
Answer:
D) 1

Question 28.
Which of the following is true?
A) 4³ > 8²
B) 2³ > 3²
C) (15)° = (10000)°
D) (- 2)⁵ = 32
Answer:
C) (15)° = (10000)°

Question 29.
5⁶ x 5^2x = 5²⁰ ⇒ x = ……………..
A) 7
B) -7
C) 6
D) 13
Answer:
A) 7

Question 30.
8536 in standard form is
A) 853.6 × 10
B) 85.36 × 10²
C) 8.536 × 10³
D) 0.8536 × 10⁴
Answer:
C) 8.536 × 10³

Question 31.
The prime factorisation of 210 is
A) 2 × 3 × 3 × 7
B) 2 × 3 × 5 × 7
C) 2 × 5 × 5 × 6
D) 2 × 3 × 7 × 7
Answer:
B) 2 × 3 × 5 × 7

Question 32.
The exponential form of 1296 is
A) 2⁴ × 3⁵
B) 2⁴ × 3⁴
C) 2⁵ × 3⁴
D) 2³ × 3³
Answer:
B) 2⁴ × 3⁴

Question 33.
Exponential form of 625 is ……………..
A) 5⁵
B) 4⁵
C) 5³
D) 5⁴
Answer:
D) 5⁴

Question 34.
Prime factorisation of 72 is ………….?
A) 2³ × 3²
B) 2³ × 3³
C) 3³ × 2²
D) 2 × 3² × 7
Answer:
A) 2³ × 3²

Question 35.
The standard form of 1, 353, 000,000 cubic kms is ……………….
A) 0.1353 × 10⁹ c.c. kms
B) 135.3 × 10⁹ c.c. kms
C) 1.353 × 10⁹ c.c. kms
D) 13.53 × 10⁹ c.c. kms
Answer:
C) 1.353 × 10⁹ c.c. kms

Question 36.
The stand form of the distance between the earth and the moon is aprox. 12,000,000,000 mts
A) 12 × 10¹¹ years
B) 1.2 × 10¹⁰years
C) 0.12 × 10⁹ years
D) 120 × 10¹¹ years
Answer:
B) 1.2 × 10¹⁰years

Question 37.
Standard form of 12345 is ……………….
A) 1.2345 × 10⁴
B) 123.45 × 10³
C) 1.2345 × 10⁵
D) 12.345 × 10⁴
Answer:
A) 1.2345 × 10⁴