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Simplify each of the following : (i) [{...

Simplify each of the following : (i) `[{((-1)/5)^(-2)}^2]^(-1)\ ` (ii) `{(1/3)^(-2)-\ (1/2)^(-3)}-:(1/4)^(-2)`

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RD SHARMA ENGLISH-POWERS-All Questions
  1. Using the laws of exponents simplify and express each of the exponen...

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  2. Simplify and write the answer in the exponential form : (2^5-:2^8)^...

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  3. Simplify each of the following : (i) [{((-1)/5)^(-2)}^2]^(-1)\ (ii)...

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  4. Simplify : (i)(5/8)^(-7)×\ (8/5)^(-5) (ii) ((-2)/3)^(-2)×\ (4/5)^(-...

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  5. Find : (8^(-1)times(5)^(3))/(2^(-4))

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  6. Simplify : (25\ "x"\ a^(-4))/(5^(-3)\ "x"\ 10\ "x"\ a^(-8)) (ii) (...

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  7. By what number shoulder (-4)^(-2) be multiplied so that the product ma...

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  8. By what number should (-12)^(-1) be divided so that the quotient must ...

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  9. By what number should ((-3)/2)^-3 be divided so that the quotient may ...

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  10. Find x so that (5/3)^(-5)×\ (5/3)^(-11)=(5/3)^(8x)

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  11. Find m so that ((2)/9)^(3)×\ (2/9)^(-6) = ((2)/9)^(2m)

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  12. If x =(3/2)^2×\ (2/3)^(-4), find the value of x^(-2)dot

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  13. Write each of the following in exponential form : (i)(3/2)^(-1)×\ ...

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  14. Evaluate : (i) 5^(-2) (ii) (-3)^(-2) (iii) (1/4)^(-1) (iv) ((-1...

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  15. Express each of the following as a rational number in the form p/q :...

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  16. Simplify: {4^(-1)"x"\ 3^(-1)}^2 (ii) \ \ \ {5^(-1)-:6^(-1)}^3 (iii...

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  17. Express each of the following rational numbers with a negative expon...

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  18. Express each of the following rational numbers with a positive expon...

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  19. Simplify: (i) {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (ii)(3^2-\ 2^2)...

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  20. Simplify: (i) {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (ii)(3^2-\ 2^2)...

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