RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Powers

Subject: Maths - Class 8th

Q. No. 6 of Exercise 2.2

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6

Express each of the following rational numbers with a positive exponent:

(i)


(ii)


(iii)


(iv)


(v)

(i)


⇒ = [Using ]


(ii)


⇒ = [Using ]


(iii)


⇒ = 43–9 = 4–6 [Using (aⁿ× aᵐ = aᵐ⁺ⁿ ]


⇒ 4–6 = [Using -n]


(iv)


⇒ = [Using (aⁿ)ᵐ = aᵐⁿ ]


(v)


⇒ = [Using (aⁿ)ᵐ = aᵐⁿ and -n ]


Chapter Exercises

Exercise 2.1
Exercise 2.2
Exercise 2.3

More Exercise Questions

1

Write each of the following in exponential form:

(i)


(ii)

2

Evaluate:


(i) 5-2


(ii) (-3)-2


(iii)


(iv)
3

Express each of the following as a rational number in the form:

(i) 6-1


(ii) (-7)-1


(iii)


(iv)


(v)

4

Simplify:

(i)


(ii)


(iii)


(iv)


(v)

5

Express each of the following rational numbers with a negative exponent:

(i)


(ii) 35


(iii)


(iv)


(v)

6

Express each of the following rational numbers with a positive exponent:

(i)


(ii)


(iii)


(iv)


(v)

7

Simplify:

(i)


(ii)


(iii)


(iv)


(v)

8

By what number should 5-1 be multiplied so that the product may be equal to (-7)-1 ?
9

By what number should be multiplied so that the product may be equal to ?
10

By what number should (-15)-1 be divided so that the quotient may be equal to (-5)-1 ?
11

By what number should be multiplied so that the product may be?
12

Find x, if

(i)


(ii)


(iii)


(iv)


(v)


(vi)

13

If x=, find the value of x-2.
13

If x = , find the value of x-1.
14

Find the value of x for which.

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