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Express the following as a rational numb...

Express the following as a rational number: `(1/2)^3xx((-3)/5)^3xx((-4)/9)^2`

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Using commutativity and associativity of addition of rational numbers,express each of the following as a rational number: (2)/(5)+(7)/(3)+(-4)/(5)+(-1)/(3) (ii) (3)/(7)+(-4)/(9)+(-11)/(7)+(7)/(9)

Using commutativity and associativity of addition of ration of numbers,express each of the following as a rational number: (4)/(3)+(-4)/(5)+(-2)/(3)+(7)/(5)-2

Simplify and express each of the following as power of a rational number: (2/3)^3xx(-6/7)^2xx(-7/4)xx3/2 (iii) -(2/5)^2xx(5/7)^2xx(49)/5+(-4/5)^3xx5/4xx3/4

Simplify and express each of the following as a rational number: ( i ) (frac(3)(2))^(-3) xx (frac(3)(2))^(-2) ( ii ) (frac(3)(4))^(-2) xx (frac(5)(2))^(-3) ( iii ) (frac(-2)(3))^(-4) xx (frac(-3)(5))^(2)

Simplify each of the following as a rational number: ( i ) (frac(4)(9))^(6) xx (frac(4)(9))^(-4) ( ii ) (frac(-7)(8))^(-3) xx (frac(-7)(8))^(2) ( iii ) (frac(4)(3))^(-3) xx (frac(4)(3))^(-2)

Express each of the following products of powers as the exponent of a rational numbers: (i) 2^5xx3^5 (ii) (-4)^3xx(-2)^3 (iii) 3^7xx(-2)^7

Simplify and express each of the following as a rational number of the form (p)/(q) . (i) [((5)/(4))^(2)-:((2)/(5))^(-4)]-:((5)/(4))^(0), (ii) [((2)/(3))^(2)]^(3)times((1)/(3))^(-2)times3^(-1)times(1)/(8)]]

RD SHARMA-EXPONENT-All Questions
  1. Identify the greater number in each of the following: 2^(10)\ or\ 10^2...

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  2. Find the product of the cube of (-2)/3 and the square of 4/(-5)dot

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  3. Express the following as a rational number: (1/2)^3xx((-3)/5)^3xx((-4)...

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  4. Simplify: (-3)^2xx((-5)/(12))^2 (ii) ((-2)/5)^3-:((-3)/(10))^4

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  5. Simplify: {(1/2)^2-(1/4)^3}xx2^3 (ii) {(3^2-2^2)-:(1/5)^2}

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  6. If a=2 and b=3, then find the values of each of the following: a^a+b^b...

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  7. If a=2 and b=3 , then find the values of each of the following: (a/b)^...

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  8. Simplify and express each of the following as power of a rational nu...

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  9. Express each of the following in exponential form: (-4)xx(-4)xx(-4)xx(...

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  10. Express each of the following in exponential form: 2xx2xx2xxaxxa (ii)...

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  11. Express each of the following numbers is exponential form: 128        ...

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  12. Express each of the following numbers as a product of powers of their ...

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  13. Express the following numbers as product of powers of their prime fa...

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  14. Express each of the following rational numbers in exponential form: (2...

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  15. Find the value of each of the following: 13^2 (ii) 7^3 (iii)3^4

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  16. Find the value of each of the following: (-7)^2 (ii) (-3)^4 (iii)(-5)...

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  17. Simplify: 3xx10^2 (ii) 2^2xx5^3 (iii)3^3xx5^2

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  18. Simplify: 3^2xx10^4 (ii) 2^4xx3^2 (iii)5^2xx3^4

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  19. Simplify: (-2)xx(-3)^3 (ii) (-3)^2xx(-5)^3 (iii)(-2)^5xx(-10)^2

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  20. Simplify: (3/4)^2 (ii) ((-2)/3)^4 (iii)((-4)/5)^5

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