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

Simplify that: `(2x^(-2)y^3)^3`

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`(2x^(-2)y^3)^3`
`=2^3(x^(-2xx3)y^(3xx3))`
`=8x^(-6)y^(9)`
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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
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  2. 3(a^4b^3)^10xx5(a^2b^2)^3

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

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

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

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

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

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  8. 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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  9. 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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  10. Prove that: ((x^a)/(x^b))^c\xx\ ((x^b)/(x^c))^a\ xx\ ((x^c)/(x^a))^b=1

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

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

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

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

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