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Express each of the following rational n...

Express each of the following rational numbers with a negative exponent : (i)`(1/4)^3` (ii) `3^5` (iii) `(3/5)^4`

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Express each of the following rational numbers with a positive exponent : (i)(3/4)^(-2) (ii) (5/4)^(-3) (iii) 4^3×\ 4^(-9)

Express each of the following rational numbers in exponential form: (i) (27)/(64) (ii) (-27)/(125) (iii) (-1)/(243)

Express each of the following as power of a rational number with positive exponent : (1/4)^(-3) (ii) 5^(-3)\ xx\ 5^(-6) (c) ((-1)/4)^(-5)xx\ ((-1)/4)^(-7)

Which of the following rational numbers are negative? (i) (-3)/7 (ii) (-5)/(-8)

Express each of the following rational numbers in power notation: (i)(49)/(64) (ii) -(64)/(125) (iii) -1/(216)

Express each of the following as a rational numbers of the form p/q : (i) (3/7)^2\ \ \ \ \ \ (ii) (7/9)^3 (iii) ((-2)/3)^4

Express each of the following as a rational number in the form p/q : (i) 6^(-1) (ii) (-7)^(-1) (iii) (1/4)^(-1)

Express each of the following as rational number : (a) (-5/7)^(-4) (b) (2/3)^(-2)

Express each of the following as a rational number of the form p/q : (i) 5^(-3) (ii) (-2)^(-5) (iii) (4/3)^(-3) (iv) ((-2)/5)^(-4) (v) 1/(2^(-3))

Express each of the following as a rational number of the form p/q :\ (-7)/4+5/3+(-1)/2+(-5)/6+2

RD SHARMA ENGLISH-POWERS-All Questions
  1. Express each of the following as a rational number in the form p/q :...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. By what number should (5/3)^(-2) be multiplied so that the product may...

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  17. Find x , if (1/4)^(-4)*\ (1/4)^(-8)=(1/4)^(-4x)

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  18. Find x , if ((-1)/2)^(-19)-:((-1)/2)^8=((-1)/2)^(-2x+1)

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  19. Find x , if (3/2)^(-3)\ (3/2)^5=(3/2)^(2x+1)

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  20. Find x , if (2/5)^(-3)x\ (2/5)^(15)=(2/5)^(2+3x)

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