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

Simplify: `{(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)`

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Verified by Experts

`{(2/3)^2}^3xx(1/3)^-4xx3^-1xx6^-1`
`(2/3)^(2xx3 )xx(1/3)^-4xx(3^-1)xx(6^-1)`
`(2/3)^6xx(3/1)^4xx(1/3)xx(1/6)`
`(2^5/3^4)`
Hence simplifying
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Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

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RD SHARMA-POWERS-All Questions
  1. Simplify: {(1/2)^(-1)times (-4)^(-1)}^(-1)

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

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

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

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

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

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

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

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

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

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

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  12. Find x , if (5/4)^(-x)-:(5/4)^(-4)=(5/4)^5

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  13. Find x , if (8/3)^(2x+1)xx(8/3)^5=(8/3)^(x+2)

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

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  15. If x=(4/5)^(-2)-:(1/4)^2, find the value of x^(-1)dot

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  16. Find the value of x for which 5^(2x)-:5^(-3)=5^5dot

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  17. Write the following numbers in standard form: (i)0. 4579 (ii) 0. 000...

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  18. Express the following numbers in usual form. (i)

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  19. Express the number appearing in the following statements in standard f...

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  20. If the diameter of the Sun is 1.4xx10^9 m and that of Earth is 1.275xx...

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