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This mock test of Test: Exponents And Powers- 3 for Class 8 helps you for every Class 8 entrance exam.
This contains 20 Multiple Choice Questions for Class 8 Test: Exponents And Powers- 3 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

What is the value of (3^{0}−4^{0}) × 5^{−3 }?

Solution:

Since a^{o} = 1 for any 'a', (3^{0}−4^{0}) × 5^{−3 }= (1−1) × 5^{−3 }= 0

QUESTION: 2

Expand 1256.249 using exponents.

Solution:

⇒ (1 x 1000) +(2 x 100) + (5 x 10) + (6 x 1) + (2/10) + (4/100) + (9/1000) .

⇒ (1 x 10^{3}) + (2 x 10^{2}) + (5 x 10^{1}) + (6 x 10^{0}) + (2 x 10^{-1}) + (4 x 10^{-2}) +(9 x 10^{-3}) (Ans)

QUESTION: 3

What is the solution of

Solution:

3^{3x−5 }= 3−2x ⇒ 3x−5 =−2x

[When bases are equal, powers can be equated.]

⇒ 5x = 5

⇒ x = 1

QUESTION: 4

Simplify: (−3)^{2}×(5/3)^{2}

Solution:

(-3)^{2 }x (5/3)^{2 }= (-1)^{2}(3)^{2-2}(25) = 25

QUESTION: 5

Write the expression using exponents: 89 × 89 × 89 × 89

Solution:

QUESTION: 6

Evaluate exponential expression − 2^{5}.

Solution:

QUESTION: 7

The value of 2^{3} is _____.

Solution:

2^{3} = 2x2x2 = 8

QUESTION: 8

Simplify and write in exponential form: p^{3}×p^{−10}

Solution:

QUESTION: 9

Very small numbers can be expressed in standard form using __________ exponents.

Solution:

QUESTION: 10

a^{0 }= _______

Solution:

QUESTION: 11

The area of a square is given by the formula A = c^{2}. What will be the total area of 5 such similar squares, if the side of a square is 8 ft?

Solution:
We have,length of each side of a square, s = 8 ftarea of 1 square = s^2 = 8 x 8 = 64 ft^2Now, area of 5 squares = 5 x 64 = 320 ft^2

QUESTION: 12

Evaluate the exponential expression (−n)^{4}× (−n)^{2}, for n = 5.

Solution:
(-n)^4×(-n)^2for n =(-5)^4×(-5)^2 by formula if(a)^n×(a)^m=a^m+n =(-5)^4+2 =-5^6 =5×5×5×5×5×5 =15625

QUESTION: 13

The area of a square is given by the formula A = side^{2}. What will be the total area of 5such similar squares, if the side of a square is 7 in?

Solution:

Side of the square is 7 inches

So area of one square is 7^{2 }= 49

Total area of 5 such squares is

49×549×5 = 245 in^{2}

QUESTION: 14

Which of the following is the value of (4 / 5)^{-9} / (4 / 5)^{-9}?

Solution:

QUESTION: 15

Simplify: 2^{5}÷ 2^{−6}

Solution:

2^{5}/2^{-6 }= 2^{5-(-6) }= 2^{11}

QUESTION: 16

Simplify:

Solution:

QUESTION: 17

Find the value of

Solution:

QUESTION: 18

Find the value of the expression a^{2} for a = 10.

Solution:

a = 10, a^{2 }= 10^{2}

10x10 =100

QUESTION: 19

Evaluate: - 7^{3}

Solution:

QUESTION: 20

Find the multiplicative inverse of 7^{−2}.

Solution:

Hence answer is 7^{2}

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