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Question 1.Complete the following table.Answer:Explanation of TableGenerally we can express two meaning of the number am/n.am/n = (am)1/n means ‘nth root of mth powerof a’.am/n = ()m means ‘mth power of nth root of a’.(1) (225)3/2(2253)1/2 means ‘Cube of square root of 225’.(2251/2)3 means ‘Square root of cube of 225’.(2) (45)4/5(454)1/5 means ‘Fourth power of fifth root of 45’.(451/5)4 means ‘Fifth root of fourth power of 45’.(3) (81)6/7(816)1/7 means ‘Sixth power of seventh root of 81’.(811/7)6 means ‘Seventh root of sixth power of 81’.(4) (100)4/10(1004)1/10 means ‘Fourth power of tenth root of 100’.(1001/10)4 means ‘Tenth root of fourth power of 100’.(5) (21)3/7(213)1/7 means ‘Cube of seventh root of 21’.()3 means ‘Seventh root of cube of 21’.Question 2.Write the following number in the form of rational indices.(1) Square root of 5th power of 121.(2) Cube of 4th root of 324.(3) 5th root of square of 264.(4) Cube of cube root of 3.Answer:we know that ‘nth root of mth powerof a’ is expressed as (am)1/nand ‘mth power of nth root of a’ is expressed as ()m.(1) Square root of 5th power of 121.We know that,‘nth root of mth powerof a’ is expressed as (am)1/nSo, ‘Square root of 5th power of 121’ is expressed as (1215)1/2 or (121)5/2.(2) Cube of 4th root of 324.We know that,‘nth root of mth powerof a’ is expressed as (am)1/nSo, ‘Cube of 4th root of 324’ is written as (3241/4)3 or (324)3/4.(3) 5th root of square of 264.We know that,‘nth root of mth powerof a’ is expressed as (am)1/nSo, ‘5th root of square of 264’ is written as (2642)1/5 or(264)2/5.(4) Cube of cube root of 3.We know that,‘mth power of nth root of a’ is expressed as ()mSo, ‘Cube of cube root of 3’ is written as (31/3)3 or (31)3/3.

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2019 Board Paper Solution

HSC ENGLISH SET A 2019 21st February, 2019

HSC ENGLISH SET B 2019 21st February, 2019

HSC ENGLISH SET C 2019 21st February, 2019

HSC ENGLISH SET D 2019 21st February, 2019

SECRETARIAL PRACTICE (S.P) 2019 25th February, 2019

HSC XII PHYSICS 2019 25th February, 2019

CHEMISTRY XII HSC SOLUTION 27th, February, 2019

OCM PAPER SOLUTION 2019 27th, February, 2019

HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019

HSC MATHS PAPER SOLUTION SCIENCE 2nd, March, 2019

SSC ENGLISH STD 10 5TH MARCH, 2019.

HSC XII ACCOUNTS 2019 6th March, 2019

HSC XII BIOLOGY 2019 6TH March, 2019

HSC XII ECONOMICS 9Th March 2019

SSC Maths I March 2019 Solution 10th Standard11th, March, 2019

SSC MATHS II MARCH 2019 SOLUTION 10TH STD.13th March, 2019

SSC SCIENCE I MARCH 2019 SOLUTION 10TH STD. 15th March, 2019.

SSC SCIENCE II MARCH 2019 SOLUTION 10TH STD. 18th March, 2019.

SSC SOCIAL SCIENCE I MARCH 2019 SOLUTION20th March, 2019

SSC SOCIAL SCIENCE II MARCH 2019 SOLUTION, 22nd March, 2019

XII CBSE - BOARD - MARCH - 2019 ENGLISH - QP + SOLUTIONS, 2nd March, 2019

HSC Maharashtra Board Papers 2020

(Std 12th English Medium)

HSC ECONOMICS MARCH 2020

HSC OCM MARCH 2020

HSC ACCOUNTS MARCH 2020

HSC S.P. MARCH 2020

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HSC HINDI MARCH 2020

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SSC Maharashtra Board Papers 2020

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English MARCH 2020

HindI MARCH 2020

Hindi (Composite) MARCH 2020

Marathi MARCH 2020

Mathematics (Paper 1) MARCH 2020

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