Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Chapter 8: Introduction to Algebra – Exercise 8.2 Question: 1 Write each of the following products into exponential form: (i) a × a × a × a × . . . 15 times (ii) 8 × b × b × b × a × a × a × a (iii) 5 × a × a × a × b × b × c × c × c (iv) 7 × a × a × a… 8 times × b × b × b ×.. . 5 times (v) 4 × a × a × a ×. . . . 5 times × b × b × . . . 12 times × c × c × c . . . 15 times Solution: (i) a15 (ii) 8a4b3 (iii) 5a3b2c3 (iv) 7a8b5 (v) 4a5b12c15 Question: 2 Write each of the following in the product form: (i) a2b5 (ii) 8x3 (iii) 7a3b4 (iv) 15a9b8c6 (v) 30x4y4z5 (vi) 43p10q5r15 (vii) 17p12q20 Solution: (i) a × a × b × b × b × b × b (ii) 8 × x × x × x (iii) 7 × a × a × a × b × b × b × b (iv) 15 × a × a × a ×. . . 9 times × b × b × b × . . . 8 times (v) 30 × x × x × x × x y × y × y × y × z × z … 5 times (vi) 43 × p × p ….. 10 times × q × q … 5 times × r × r ….. 15 times (vii) 17 × p × p … 12 times × q × q … 20 times Question: 3 Write down each of the following in the exponential form: (i) 4a3 × 6ab2 × c2 (ii) 5xy × 3x2y × 7y2 (iii) a3 × 3ab2 × 2a2b2 Solution: (i) 24a4b2c2 (ii) 105x3y4 (iii) 6a6b4 Question: 4 The number of bacteria in a culture is x now. It becomes square of itself after one week. What will be its number after two weeks? Solution: Present number of bacteria in a culture = x Number of bacteria in the culture after one week = x2 Number of bacteria in the culture after two weeks = (x2)2 = x4 Question: 5 The area of a rectangle is given by the product of its length and breadth. The length of a rectangle is two-thirs of its breadth. Find its area if its breadth is x cm. Solution: Breadth of the given rectangle = x cm Length of the rectangle = 23 x cm Area of the rectangle = 23x × x = 23 cm2 Question: 6 If there are x rows of chairs and each row contains x2 chairs. Determine the total numbers of chairs. Solution: Total number of chairs = Number of rows × Number of chairs in each row = x × x2 = x3
Write each of the following products into exponential form:
(i) a × a × a × a × . . . 15 times
(ii) 8 × b × b × b × a × a × a × a
(iii) 5 × a × a × a × b × b × c × c × c
(iv) 7 × a × a × a… 8 times × b × b × b ×.. . 5 times
(v) 4 × a × a × a ×. . . . 5 times × b × b × . . . 12 times × c × c × c . . . 15 times
(i) a15
(ii) 8a4b3
(iii) 5a3b2c3
(iv) 7a8b5
(v) 4a5b12c15
Write each of the following in the product form:
(i) a2b5
(ii) 8x3
(iii) 7a3b4
(iv) 15a9b8c6
(v) 30x4y4z5
(vi) 43p10q5r15
(vii) 17p12q20
(i) a × a × b × b × b × b × b
(ii) 8 × x × x × x
(iii) 7 × a × a × a × b × b × b × b
(iv) 15 × a × a × a ×. . . 9 times × b × b × b × . . . 8 times
(v) 30 × x × x × x × x y × y × y × y × z × z … 5 times
(vi) 43 × p × p ….. 10 times × q × q … 5 times × r × r ….. 15 times
(vii) 17 × p × p … 12 times × q × q … 20 times
Write down each of the following in the exponential form:
(i) 4a3 × 6ab2 × c2
(ii) 5xy × 3x2y × 7y2
(iii) a3 × 3ab2 × 2a2b2
(i) 24a4b2c2
(ii) 105x3y4
(iii) 6a6b4
The number of bacteria in a culture is x now. It becomes square of itself after one week. What will be its number after two weeks?
Present number of bacteria in a culture = x
Number of bacteria in the culture after one week = x2
Number of bacteria in the culture after two weeks = (x2)2 = x4
The area of a rectangle is given by the product of its length and breadth. The length of a rectangle is two-thirs of its breadth. Find its area if its breadth is x cm.
Breadth of the given rectangle = x cm
Length of the rectangle = 23 x cm
Area of the rectangle = 23x × x = 23 cm2
If there are x rows of chairs and each row contains x2 chairs. Determine the total numbers of chairs.
Total number of chairs = Number of rows × Number of chairs in each row
= x × x2 = x3
Signing up with Facebook allows you to connect with friends and classmates already using askIItians. It’s an easier way as well. “Relax, we won’t flood your facebook news feed!”
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
Chapter 8: Introduction to Algebra –...
