Power Play Class 8 MCQ

Power Play Class 8 MCQ

Power Play Class 8 MCQ

Question 1.

The exponential form of p × q × p × q × p × p × p × q × q is ____________.

(a) p⁵ × q⁴

(b) p⁴ × q⁵

(c) p⁵ × q⁵

(d) p⁶ × q⁴

Solution:

(a) p⁵ × q⁴

Question 2.

Which of these numbers are arranged in the correct order?

(a) 2⁷ < 15² < 3⁵ < 4⁴

(b) 2⁷ < 3⁵ < 4⁴ < 15²

(c) 15² < 4⁴ < 3⁵ < 2⁷

(d) 2⁷ < 3⁵ < 15² < 4⁴

Solution:

(a) 2⁷ < 15² < 3⁵ < 4⁴

Question 3.

If [latex]\left(\frac{14}{6}\right)^{-m} \times\left(\frac{3}{7}\right)^{12}[/latex] = [latex]\left(\frac{27}{343}\right)^6[/latex], what is the alue of m?

(a) -1.5

(b) -6

(c) 30

(d) 6

Solution:

(d) 6

Question 4.

What is twice of the number 14500000 in standard form?

(a) 1.45 × 10⁵

(b) 2.9 × 10⁵

(c) 2.9 × 10⁷

(d) 1.45 × 10⁷

Solution:

(c) 2.9 × 10⁷

Question 5.

Which of the following is NOT true?

(a) (3³)¹ = 3³

(b) (3¹)^-1 = 3^-1

(c) (3²)⁴ = 3⁶

(d) (3^-1)^-5 = 3⁵

Solution:

(c) (3²)⁴ = 3⁶

Case Study

Question 1.

Last Digit of a Power Fill in the blanks :

(a) Last digit of 7³ is ____________.

(b) Last digit of 7⁴ is ____________ .

(c) Last digit of 7⁵ is ____________ .

(d) Last digit of 7⁶ is ______________ .

(e) Last digit of 7¹⁶⁰ is

(i) 1

(ii) 3

(iii) 7

(iv) 9

(f) Last digit of 7¹⁹⁰ is

(i) 1

(ii) 3

(iii) 7

(iv) 9

Solution:

(a) 3

(b) 1

(c) 7

(d) 9

(e) (i)

(f) (iv).

Question 2.

Exponent Zero

(a) Which of the following is equal to 1?

(i) 4⁰ + 5⁰ + 6⁰

(ii) (5⁰ - 4⁰) x 6⁰

(iii) (5⁰ - 4⁰) (6⁰ + 4⁰)

(iv) 4⁰ x 5⁰ x 6⁰

Fill in the blanks :

(b) Value of 4⁰ + 5⁰ + 6⁰ is ___________ .

(c) Value of (4⁰ + 5⁰ + 6⁰) x (5⁰ - 4⁰) x 6⁰ is ___________ .

(d) Value of (4⁰ + 5⁰ + 6⁰) x (5⁰ - 4⁰) (6⁰ + 4⁰) is __________ .

(e) Value of (5⁰ - 4⁰) x 6⁰ x (5⁰ - 4⁰) (6⁰ + 4⁰) is _________ .

(f) Value of (5⁰ - 4⁰) (6⁰ + 4⁰) x (4⁰ x 5⁰ x 6⁰) is ________.

(g) Value of (4⁰ x 5⁰ x 6⁰) 4- (4⁰ + 5⁰ + 6⁰) is __________ .

Solution:

(a) (iv)

(b) 3

(c) 0

(d) 0

(e) 0

(f) 0

Question 3.

Values of Exponents

(a) If 2¹⁹⁹⁸ - 2¹⁹⁹⁷ - 2¹⁹⁹⁶ + 2¹⁹⁹⁵ = k.2¹⁹⁹⁵, then the value of k is

(i) 4

(ii) 3

(iii) 2

(iv) 1

Fill in the blanks :

(b) Value of 2¹⁹⁹⁸ ÷ 2¹⁹⁹⁵ is _________ .

(c) Value of 2¹⁹⁹⁷ ÷ 2¹⁹⁹⁵ is _________ .

(d) Value of 2¹⁹⁹⁶ ÷ 2¹⁹⁹⁵ is __________ .

(e) Value of 2¹⁹⁹⁵ ÷ 2¹⁹⁹⁵ is __________ .

Solution:

(a) (ii)

(b) 8

(c) 4

(d) 2

(e) 0