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This mock test of Test: Exponents And Powers- 1 for Class 8 helps you for every Class 8 entrance exam.
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QUESTION: 1

(−2)^{5}÷ (−2)^{8 }= ?

Solution:

QUESTION: 2

Write the expression using exponents: 61 × 61 × 61 × 61 × 61

Solution:

Answers is 61^5 because 61 is multiplied 5 times

QUESTION: 3

Find the value of x, if 32 = 2^{x}.

Solution:

Factorisation of 32 is 2 x 2 x 2 x 2 x 2

32 = 2^{5}

X = 5

QUESTION: 4

The repeated factor in an exponential expression is called ____.

Solution:

An expression that represents repeated multiplication of the same factor is called a power. The exponent corresponds to the number of times the base is used as a factor.

QUESTION: 5

A group of students were given an assignment to collect different types of leaves. The group collected32 types of leaves. Represent the number of leaves collected in the form of exponential expression with its base being indivisible.

Solution:

2^{5} = 2 x 2 x 2 x 2 x 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

QUESTION: 6

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

Solution:

Multiply 10 twice i.e 10 × 10 because they asked 'a' to the power 2 . so multiply by twice, the solution is 100 .

QUESTION: 7

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

Solution:

(-b)^{4}= (-4^{4}) =(-4 × -4) × (-4 × -4)

=16×16 (as -×-=+) =256

(-b)^{5}=1024

so, -1024 × 256 = -262144

QUESTION: 8

When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.

Solution:

For example , 2.38 x 10^{4 }+ 21.1 x 10^{3 }= 2.38 x 10^{4 }+ 2.11 x 10^{4 }= 4.49 x 10^{4}

QUESTION: 9

Simplify and write in exponential form: (−2)^{−3} × (−2)^{− 4}

Solution:

(-2)^{-3}*(-2)^{-4} = (-2)^{(-3)+(-4)} = (-2)^{(-7)}

QUESTION: 10

Evaluate: 8^{2}

Solution:

8^{2 }= 8 x 8 = 64

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