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

RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Powers

Subject: Maths - Class 8^th

Q. No. 10 of Exercise 2.2

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10

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

Let the number (-15)^-1 shlould be devided by

According to the question:

(-15)^-1 ÷= (-5)^-1

[Using ^-n = ]

[Using ]

Therefore (-15)^-1 should be devided by

10

Chapter Exercises

Exercise 2.1

Exercise 2.2

Exercise 2.3

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.