SIMPLIFY :
(i) ( 1³+ 2³ + 3³ ) ½
(ii) ( 3/5 )⁴ ( 8/5 ) -¹² ( 32/5)
(iii) ( 1/27) -⅔
(iv) [ { ( 625 ) ½ } -¼ ] ²
(v) 64 -⅓ [ 64 ⅓ - 64 ⅔ ]
( 256 ) -(⁴)
(vii) 4 / ( 216) -⅔ + 1 /(256) – ¾ + 2/ ( 243 ) - 1/5
(viii) { 5( 8 ⅓+ 27⅓ )³ ] ¼
(ix) ( 256 ) 0.16 X ( 256) 0.09
(x) ( 9 1/3 X 27 -1/2 ) / ( 3 1/6 X 3 -2/3 )
Answers
Given : i) ( 1³+ 2³ + 3³ ) ½
( 1/27) -⅔
(iv) [ { ( 625 ) ½ } -¼ ] ²
(v) 64 -⅓ [ 64 ⅓ - 64 ⅔ ]
To Find : Simplify
Solution:
i) ( 1³+ 2³ + 3³ ) ½
= ( 1 + 8 + 27) ½
= (36) ½
= (6²) ½
= 6
( 1/27) -⅔
= ( 1/3³) -⅔
= ( 3⁻³) -⅔
= 3²
= 9
(iv) [ { ( 625 ) ½ } -¼ ] ²
= [ { ( 25² ) ½ } -¼ ] ²
= [ { 25 } -¼ ] ²
= [ { 5² } -¼ ] ²
= 5⁻¹
= 1/5
(v) 64 -⅓ [ 64 ⅓ - 64 ⅔ ]
=4³ -⅓ [ 4³ ⅓ - 4³ ⅔ ]
= 4⁻¹(4 - 4²)
= -12/4
= -3
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