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Simplify: (10xx5^(n+1)+25xx5^n)/(3xx5^(n...

Simplify: `(10xx5^(n+1)+25xx5^n)/(3xx5^(n+2)+10xx5^(n+1))` (ii) `((16)^7xx(25)^5xx(81)^3)/((15)^7xx(24)^5xx(80)^3)`

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RD SHARMA-EXPONENT-All Questions
  1. Simplify and write each of the following in exponential from: (9^8xx(x...

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  2. Simplify: (3^5)^(11)xx(3^(15))^4-(3^5)^(18)xx(3^5)^5, (16xx2^(n+1)-4x...

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  3. Simplify: (10xx5^(n+1)+25xx5^n)/(3xx5^(n+2)+10xx5^(n+1)) (ii) ((16)^7x...

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  4. Find the value of n in each of the following: 5^(2n)xx5^3=5^(11) (ii) ...

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  5. Find the value of n in each of the following: 8xx2^n^(+2)=32 (ii) 7^(2...

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  6. Find the value of n in each of the following: (3/2)^4xx(3/2)^5=(3/2)^(...

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  7. if (9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)=1/(27), find the value of n

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  8. Express the following numbers in the standard from: (i)3,90,878       ...

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  9. Write the following numbers in the usual form: 7.54xx10^6 (ii) 9.325xx...

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  10. Express the following numbers in the standard form: 3908. 78 (ii) 5,00...

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  11. Express the following numbers in the standard form: 3,18,65,00,000 (ii...

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  12. Write the following numbers in the usual from: 4. 83xx10^7 (ii) 3. 21x...

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  13. Express the numbers appearing in the following statements in the st...

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  14. Write the following numbers in the expanded exponential forms: 20068 (...

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  15. Write the following numbers in the expanded exponential forms: 7805192...

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  16. Find the numbers from each of the following expanded forms: 7xx10^4+6x...

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  17. Find the numbers from each of the following expanded forms: 9xx10^5+5x...

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  18. (6^(-1)-8^(-1))^(-1) = 1/(24) (b) 24 -24 (d) -1/(24)

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  19. 2^(3^2) = (a)64                                         (b) 32 (c...

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  20. (3^(-1)xx5^(-1))^(-1)()(\ \ )= 1/(15)\ \ \ (b) -1/(15) 15 (d) -15

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