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

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

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RD SHARMA ENGLISH-POWERS-All Questions
  1. By what number should ((-3)/2)^-3 be divided so that the quotient may ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)

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  15. Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)

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  16. Simplify: {(1/2)^(-1)x\ (-4)^(-1)}^(-1)

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  17. Simplify: [{((-1)/4)^2}^(-2)]^(-1)

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  18. Simplify: {(2/3)^2}^3*\ (1/3)^(-4)*\ 3^(-1)*\ 6^(-1)

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  19. By what number should 5^(-1) be multiplied so that product may be equa...

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  20. By what number should (1/2)^(-1) be multiplied so that product may be ...

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