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Find the value of x for which 5^(2x)-:5^...

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

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To solve the equation \( 5^{2x} - 5^{-3} = 5^5 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the given equation: \[ 5^{2x} - 5^{-3} = 5^5 \] ...
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RD SHARMA-POWERS-All Questions
  1. If x=(3/2)^2xx\ (2/3)^(-4),\ find the value of x^(-2)dot

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

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

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

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

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

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

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  8. The size of a red blood cell is 0. 000007\ m and the size of a plant c...

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  9. Express the following number in standard form: (i) 6020000000000000 ...

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  10. Write the following numbers in the usual form: (i)4. 83\ xx\ 10^7 (i...

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  11. Choose the correct alternative in each of the following : Square of...

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  12. Cube of (-1)/2i s 1/8 (b) 1/(16) (c) -1/8 (d) (-1)/(16)

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  13. Which of the following is not equal to ((-3)/5)^4? (a)((-3)^4)/(5^4) ...

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  14. Which of the following is not reciprocal of (2/3)^4? (3/2)^4 (b) (...

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  15. Which of the following numbers is not equal to (-8)/(27)?\ (a)(2/3)^...

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  16. (2/3)^(-5) is equal to (a)((-2)/3)^5 (b) (3/2)^5 (c) (2xx-5)/3 ...

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  17. ((-1)/2)^5x((-1)/2)^3 is equal to (a)((-1)/2)^8 (b) -\ (1/2)^8 ...

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  18. ((-1)/5)^3-:((-1)/5)^8 is equal to (a) (-1/5)^5 (b) (-1/5)^(11) ...

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  19. ((-2)/5)^7-:((-2)/5)^5 is equal to (a)4/(25) (b) (-4)/(25) (c) ...

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  20. {(1/3)^2}^4 is equal to (a)(1/3)^6 (b) (1/3)^8 (c) (1/3)^(24) ...

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