{"id":10282,"date":"2023-12-28T17:39:43","date_gmt":"2023-12-28T12:09:43","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=10282"},"modified":"2023-12-29T09:31:15","modified_gmt":"2023-12-29T04:01:15","slug":"ap-board-7th-class-maths-solutions-chapter-11-ex-1","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-7th-class-maths-solutions-chapter-11-ex-1\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 11 Exponents Ex 1"},"content":{"rendered":"

AP State Syllabus AP Board 7th Class Maths Solutions<\/a> Chapter 11 Exponents Ex 1 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 11th Lesson Exponents Exercise 1<\/h2>\n

\"AP<\/p>\n

Question 1.
\nWrite the base and the exponent in each case. Also, write the term in the expanded form.
\n(i) 34
\n(ii) (7x)2<\/sup>
\n(iii) (5ab)3<\/sup>
\n(iv) (4y)5<\/sup>
\nSolution:
\n\"AP<\/p>\n

Question 2.
\nWrite the exponential form of each expression.
\n(i) 7 \u00d7 7 \u00d7 7 \u00d7 7 \u00d7 7
\n(ii) 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5
\n(iii) 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5
\nSolution:
\n(i) 7 \u00d7 7 \u00d7 7 \u00d7 7 \u00d7 7 = 75<\/sup>
\n(ii) 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5 = 33<\/sup> \u00d7 54<\/sup>
\n(iii) 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5 = 23<\/sup> \u00d7 34<\/sup> \u00d7 53<\/sup><\/p>\n

\"AP<\/p>\n

Question 3.
\nExpress the following as the product of exponents through prime factorization.
\n(i) 288
\n(ii) 1250
\n(iii) 2250
\n(iv) 3600
\n(v) 2400
\nSolution:
\n(i) 288
\n1) 288 = 2 \u00d7 144
\n= 2 \u00d7 2 \u00d7 72
\n= 2 \u00d7 2 \u00d7 2 \u00d7 36
\n= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 18
\n= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 9
\n= (2 \u00d7 2 \u00d7 2 \u00d7 2\u00d7 2) \u00d7 (3 \u00d7 3)
\n= 25<\/sup> \u00d7 32<\/sup><\/p>\n

\"AP<\/p>\n

\"AP<\/p>\n

(ii) 1250 = 2 \u00d7 625
\n= 2 \u00d7 5 \u00d7 125
\n= 2 \u00d7 5 \u00d7 5 \u00d7 25
\n= 2 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5
\n= 2 \u00d7 54<\/sup><\/p>\n

\"AP<\/p>\n

(iii) 2250 = 2 \u00d7 1125
\n= 2 \u00d7 3 \u00d7 375
\n= 2 \u00d7 3 \u00d7 3 \u00d7 125
\n= 2 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 25
\n= 2 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5
\n= 21<\/sup> \u00d7 32<\/sup> \u00d7 53<\/sup><\/p>\n

\"AP<\/p>\n

\"AP<\/p>\n

(iv) 3600 = 2 \u00d7 1800
\n= 2 \u00d7 2 \u00d7 900
\n=2 \u00d7 2 \u00d7 2 \u00d7 450
\n=2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 225
\n= ( 2 \u00d7 2 \u00d7 2 \u00d7 2 ) \u00d7 3 \u00d7 75
\n= (2 \u00d7 2 \u00d7 2 \u00d7 2) \u00d7 (3 \u00d7 3) \u00d7 25
\n= (2 \u00d7 2 \u00d7 2 \u00d7 2) \u00d7 (3 \u00d7 3) \u00d7 (5 \u00d7 5)
\n= 24<\/sup> \u00d7 32<\/sup> \u00d7 52<\/sup><\/p>\n

\"AP<\/p>\n

\"AP<\/p>\n

(v) 2400
\n2400 = 2 \u00d7 1200
\n= 2 \u00d7 2 \u00d7 600
\n= 2 \u00d7 2 \u00d7 2 \u00d7 300
\n= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 150
\n= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 75
\n= (2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2) \u00d7 3 \u00d7 25
\n= (2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2) \u00d7 3 \u00d7 (5 \u00d7 5)
\n= 25<\/sup> \u00d7 31<\/sup><\/p>\n

\"AP<\/p>\n

Question 4.
\nIdentify the greater number in each of the following pairs.
\n(i) 23<\/sup> or 32<\/sup>
\n(ii) 53<\/sup> or 35<\/sup>
\n(iii) 28<\/sup> or 82<\/sup>
\nSolution:
\n(i) 23<\/sup> or 32<\/sup> = 23<\/sup> = 2 \u00d7 2 \u00d7 2 = 8 and 32<\/sup> = 3 \u00d7 3 = 9
\n\u2234 23<\/sup> < 32<\/sup> or 32<\/sup> > 23<\/sup><\/p>\n

(ii) 53<\/sup> or 35<\/sup> = 53<\/sup> = 5 \u00d7 5 \u00d7 5 = 125 and 35<\/sup> = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 = 243
\n\u2234 35<\/sup> > 53<\/sup><\/p>\n

\"AP<\/p>\n

(iii) 28<\/sup> or 82<\/sup> = 28<\/sup> = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 256
\n82<\/sup> = 8 \u00d7 8 = 64
\n\u2234 28<\/sup> > 82<\/sup><\/p>\n

Question 5.
\nIf a = 3, b = 2 find the value of
\n(i) ab<\/sup> + ba<\/sup>
\n(ii) aa<\/sup> + bb<\/sup>
\n(iii) (a + b)ab<\/sup>
\n(iv)(a – b)a<\/sup>
\nSolution:
\n(i) ab<\/sup> + ba<\/sup> = 32<\/sup> + 23<\/sup> = 3 \u00d7 3 + 2 \u00d7 2 \u00d7 2 = 9 + 8 =17
\n(ii) aa<\/sup> + bb<\/sup> = 33<\/sup> + 22<\/sup> = 3 \u00d7 3 \u00d7 3 + 2 \u00d7 2 = 27 + 4 = 31
\n(iii) (a + b)b<\/sup> = (3 + 2)2<\/sup> = 52<\/sup> = 5 \u00d7 5 = 25
\n(iv)(a – b)a<\/sup> = (3 – 2)2<\/sup>= 12<\/sup> = 1 \u00d7 1 = 1 .<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 7th Class Maths Solutions Chapter 11 Exponents Ex 1 Textbook Questions and Answers. AP State Syllabus 7th Class Maths Solutions 11th Lesson Exponents Exercise 1 Question 1. Write the base and the exponent in each case. Also, write the term in the expanded form. (i) 34 (ii) (7x)2 (iii) (5ab)3 … Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":37853,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2021\/04\/Chapter-11-Exponents-Ex-1.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10282"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=10282"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10282\/revisions"}],"predecessor-version":[{"id":37854,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10282\/revisions\/37854"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/37853"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=10282"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=10282"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=10282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}