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Simplify (x^2y^2z)^(3)/(xy^2z)^(2)...

Simplify `(x^2y^2z)^(3)/(xy^2z)^(2)`

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The correct Answer is:
`x^7.y^2.z`
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PEARSON IIT JEE FOUNDATION-INDICES -Short answer type questions
  1. Evaluate (1+3+5+7+9+11+13+15)^((5)/(6)).

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  2. Identify the greater number between (2^2)^3 and 2^(2^3).

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  3. Simplify (x^2y^2z)^(3)/(xy^2z)^(2)

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  4. If 2^x=240 then find 2^(x-4).

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  5. If (3x^4)^3=3^(3^3). Then find x (where xgt 0).

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  6. Simplify (x^(a-b))^(a+b).(x^(b-c))^(b+c).(x^((c-a)))^((c+a)) where x n...

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  7. Solve for x:(25)^(x+2)=(125)^(2-x)

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  8. Find the value of 3^(2^(4^(0^(7^(8)))))+8^(3^(2^(0^(4^(7)))))

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  9. Simplify [(2)/(5)]^(4)((25)/(8))^(3)((125)/(4))^2

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  10. If x=sqrt(81), then find the value of (x^5+x^4)/(x^3)

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  11. Find the value of (-1)^0+(-1)^1+(-1)^2+...+(-1)^(100).

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  12. Arrange 6^(-3), 5^(-3),4^(-3), and 3^(-3) in the ascending order.

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  13. A teacher wanted to distribute a tatal amount of ₹ 1296 equally among ...

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  14. What should be multiplied to 3^(-4) so that product is 6 ?

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  15. If xyz=0, then find the value of [(k^(x))^y]^z-[(k^(y))^z]^x-[(k^(z))^...

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  16. If 9^(2x-7)=(27)^(x-4), then find the value of 3^x.

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  17. Vicky scored x marks in Maths and Rakesh scored x^3 marks in Maths. Th...

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  18. Simplify (3x^(-2)y^(-3)z^(2)xx5x^(2)xxyxxz^3 )÷x^(3)y^(2)z^(-1)

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  19. If (1)/((343)^(3y+2))=49 ,then find the value of y.

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  20. Simplify ((125)/(216))^((2)/(3))xx((36)/(5))^(+2)div((25)/(6))^(-2)

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