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

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 ^5or 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