R d sharma solutions mathematics class 7 Solutions for Chapter 6 exponents

Exercises in Chapter 6 exponents Grade 7

Exponents Exercise 6.1

Questions in Exponents Exercise 6.1

Find the values of each of the following:

$(i)13^2(ii)7^3(iii)3^4$

Find the values of each of the following:

$(i)13^2(ii)7^3(iii)3^4$

Find the value of each of thefollowing:

(i) (-7)²

(ii) (-3) $^4$

(iii) (-5) $^5$

Simplify:

(i) 3 × 10²

(ii) 2² × 5³

(iii) 3³ × 5²

Simply:

(i) 3² × 10 $^4$

(ii) 2 $^4$ × 3²

(iii) 5² × 3 $^4$

Simplify:

(i) (-2) × (-3)³

(ii) (-3)² × (-5)³

(iii) (-2) $^5$ × (-10)²

Simplify:

(i) (3/4)²

(ii) (-2/3) $^4$

(iii) (-4/5) $^5$

Identify the greater number in each of the following:

(i) 2 $^5$ or 5²

(ii) 3 $^4$ or 4³

(iii) 3 $^5$ or 5³

Express each of the following in exponentialform:

(i) (-5) × (-5) × (-5)

(ii) (-5/7) × (-5/7) × (-5/7) × (-5/7)

(iii) (4/3) × (4/3) × (4/3) × (4/3) × (4/3)

Express each of the following in exponential form:

(i) x × x × x × x × a × a × b × b × b

(ii) (-2) × (-2) × (-2) × (-2) × a × a × a

(iii) (-2/3) × (-2/3) × x × x × x

Express each of the following numbers in exponential form:

(i) 512

(ii) 625

(iii) 729

Express each of the following numbers as a product of powers of their prime factors:

(i) 36

(ii) 675

(iii) 392

Express each of the following numbers as a product of powers of their prime factors:

(i) 450

(ii) 2800

(iii) 24000

Express each of the following as a rational number of the form(p/q):

(i) (3/7)²

(ii) (7/9)³

(iii) (-2/3) $^4$

Express each of the following rational numbers in powernotation:

(i) (49/64)

(ii) (- 64/125)

(iii) (-12/16)

Find the value of the following:

(i) (-1/2)² × 2³ × (3/4)²

(ii) (-3/5) $^4$ × (4/9) $^4$ × (-15/18)²

If a = 2 and b= 3, the find the values of each of the following:

(i) (a + b) $^a$

(ii) (a b) $^b$

(iii) (b/a) $^b$

(iv) ((a/b) + (b/a)) $^a$

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Chapters in this book

Integers

Fractions

Decimals

Rational Numbers

Operations on Rational Numbers

Exponents

Algebraic Expressions

Linear Equations In One Variable

Ratio and Proportion

Unitary Method

Percentage

Profit and Loss

Simple Interest

Lines and Angles

Properties of Triangle

Congruence

Constructions

Symmetry

Visualising Solid Shapes

Mensuration 1

Mensuration 2 Area of Circle

Data Handling-Collection Organisation Data

Data Handling-Central Values

Data Handling-Construction Of Bar Graphs

Data Handling-Probability