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3(a^4b^3)^10xx5(a^2b^2)^3...

`3(a^4b^3)^10xx5(a^2b^2)^3`

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`3(a^4b^3)^10xx5(a^2b^2)^3`
`=3(a^(40)b^(30))xx5(a^6b^6)`
`=15(a^(40+6)b^(30+6))`
`=15a^(46)b^(36)`
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Simplify 3(a^4xxb^3)^(10)xx5(a^2b^2)^3

3(a^(4)b^(3))^(10)xx5(a^(2)b^(2))^(3)

Simplify and express each of the following in exponential from: ((3^7)/(3^2))xx3^5 (ii) (4^5xxa^8b^3)/(4^5xxa^5b^2)

(3a^(2)b)xx(4a^(2)b)xx(-2)

(2^(8)xx a^(8)b^(3))/(4^(3)y xx a^(5)b^(2))

Factorize the following 3,a+b+c,a^(3)+b^(3)+c^(3)a+b+c,a^(2)+b^(2)+c^(2),a^(4)+b^(4)+c^(4)a^(2)+b^(2)+c^(2),a^(3)+b^(3)+c^(3),a^(5)+b^(5)+c^(5)]|

H.C.F.of 3240,3600 and a third number is 36 and their L.C.M.is 2^(4)xx3^(5)xx5^(2)xx7^(2) .The third number is (a) 2^(2)xx3^(5)xx7^(2)(b)2^(2)xx5^(3)xx7^(2)(c)2^(5)xx5^(2)xx7^(2)(b)2^(3)xx3^(5)xx7^(2)

If (10a^3 + 4b^3) : (11a^3 - 15b^3 =7:5, then (3a + 5b) : (9a - 2b)=? यदि (10a^3 + 4b^3) : (11a^3 - 15b^3 =7:5 है, तो (3a + 5b) : (9a - 2b)=?

If a= ( 2^(2) xx 3^(3) xx 5^(4)) and b = (2^(3) xx 3^(2) xx 5) then HCF (a, b) ?

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Solve the equation for x: 2^(2x+1)=17. 2^x-2^3

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  2. Solve the equation for x 5^(2x+1)=6. 5^x-1

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  3. 3(a^4b^3)^10xx5(a^2b^2)^3

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  4. Simplify that: (2x^(-2)y^3)^3

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  5. Simplify that: ((4\xx\ 10^7)(6\ xx\ 10^(-5)))/(8\ xx\ 10^4)

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  6. Simplify that: (4a b^2\ (-5a b^3))/(10 a^2b^2)

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  7. Simplify that : ((x^2\ y^2)/(a^2b^3))^n

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  8. Simplify that: ((a^(2n-9))^6)/(a^(2n-4))

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  9. If a=3 and b=-2, find the values of: (i)\ a^a+b^b (ii)\ a^b+b^a (iii...

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  10. Prove that: ((x^a)/(x^b))^(a^(2+a b+b^(2)))xx\ ((x^b)/(x^c))^(b^(2+b c...

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  11. Prove that: ((x^a)/(x^b))^c\xx\ ((x^b)/(x^c))^a\ xx\ ((x^c)/(x^a))^b=1

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  12. Prove that: 1/(1+x^(a-b))+1/(1+x^(b-a))=1

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  13. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

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  14. Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=abc

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  15. Prove that: (a^(-1)+b^(-1))^(-1)=(ab)/(a+b)

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  16. If a b c=1,\ show that 1/(1+a+b^(-1))+1/(1+b+c)+1/(1+c+a^(-1))=1

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  17. Simplify the following: (i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1))...

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  18. Simplify the following: (i)\ (5^(n+3)-\ 6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^...

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  19. Solve the following equations for x (i)7^(2x+3)=1 (ii)2^(x+1)=4^x (...

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  20. Solve the following equations for x\ : (i)\ 4^(2x)=1/(32)\ (ii)4^(x-1...

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