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State True or False : x^(@)xxx^(@)=x^(@)...

State True or False : `x^(@)xxx^(@)=x^(@)-:x^(@)` is true for all non zero values of x.

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NCERT EXEMPLAR-EXPONENTS AND POWERS-EXERCISE
  1. State True or False : (-3)/5^(100)=(-3^(100))/(-5^(100))

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  2. State True or False : (10+10)^(10)=10^(10)+10^(10)

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  3. State True or False : x^(@)xxx^(@)=x^(@)-:x^(@) is true for all non ze...

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  4. standard form a number is said to be in the standard form if it is exp...

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  5. State True or False : 4^(2) is greater than 2^(4).

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  6. State True or False : x^(m)+x^(m)=x^(2m), where x is a non zero ration...

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  7. State True or False : x^(m)xxy^(m)=(x xxy)^(2m), where x and y are non...

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  8. x^(m)-:y^(m)=(x-:y)^(m), where x and y are non zero rational numbers a...

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  9. x^(m)xx x^(n)=x^(m+n), where x is a non zero rational number and m,n a...

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  10. State True or False : 4^(9) is greater than 16^(3)

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  11. State True or False : (2/5)^(3)-:(5/2)^(3)=1

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  12. State True or False : (4/3)^(5)xx(5/7)^(5)=(4/3+5/7)^(5)

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  13. State True or False : (5/8)^(9)-:(5/8)^(4)=(5/8)^(4)

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  14. State True or False : (7/3)^(2)xx(7/3)^(5)=(7/3)^(10)

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  15. State True or False : 5^(@)xx25^(@)xx125^(@)=(5^(@))^(6)

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  16. State True or False : 876543=8xx10^(5)+7xx10^(4)+6xx10^(3)+5xx10^(2)+4...

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  17. State True or False : 600060=6xx10^(5)+6xx10^(2)

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  18. State True or False : 4xx10^(5)+3xx10^(4)+2xx10^(3)+1xx10^(@)=432010

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  19. State True or False : 8xx10^(6)+2xx10^(4)+5xx10^(2)+9xx10^(@)=8020509

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  20. State True or False : 4^(@)+5^(@)+6^(@)=(4+5+6)^(@)

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