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Express 27/64 and (-27)/64 as powers of ...

Express `27/64` and `(-27)/64` as powers of a rational number.

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NCERT EXEMPLAR-EXPONENTS AND POWERS-EXERCISE
  1. Express 3^(-5)xx3^(-4) as a power of 3 with positive exponent.

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  2. Express 16^(-2) as a power with the base 2.

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  3. Express 27/64 and (-27)/64 as powers of a rational number.

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  4. Express 16/81and (-16)/81 as powers of a rational number.

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  5. Express as a power of a rational number with negative exponent. (((-...

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  6. Express as a power of a rational number with negative exponent. (2^(...

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  7. Find the product of the cube of (-2) and the square of (+4).

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  8. Simplify : (1/4)^(-2)+\ (1/2)^(-2)+(1/3)^(-2)

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  9. Simplify: (((-2)/3)^(-2))^(3)xx(1/3)^(-4)xx3^(-1)xx1/6

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  10. Simplify: (49xxz^(-3))/(7^(-3)xx10xxz^(-5))(z!=0)

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  11. Simplify: (2^(5)-:2^(8))xx2^(-7)

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  12. Find the value of x so that (5/3)^(-2)xx(5/3)^(-14)=(5/3)^(8x)

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  13. Find the value of x so that (-2)^(3)xx(-2)^(-6)=(-2)^(2x-1)

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  14. Find the value of x so that (2^(-1)+4^(-1)+6^(-1)+8^(-1))^(x)=1

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  15. Divide 293 by 10,00,000 and express the result in standard form.

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  16. Findthe value of x^(-3) if x=(100)^(1-4)-:(100)^(a).

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  17. By what number should we multiply (-29)^(@) so that the product become...

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  18. By what number should (-15)^(-1) be divided so that quotient may be eq...

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  19. Find the multiplicative inverse of (-7)^(-2)-:(90)^(-1).

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  20. If 5^(3x-1)-:25=125, find the value of x.

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