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

`((-1)/5)^3-:((-1)/5)^8` is equal to (a) `(-1/5)^5` (b) `(-1/5)^(11)` (c) `(-5)^5` (d) `(1/5)^5`

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To solve the expression \((-1/5)^3 \div (-1/5)^8\), we can follow these steps: ### Step 1: Rewrite the Division as Subtraction of Exponents Using the property of exponents that states \(a^m \div a^n = a^{m-n}\), we can rewrite the expression: \[ (-1/5)^3 \div (-1/5)^8 = (-1/5)^{3-8} \] ...
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RD SHARMA-POWERS-All Questions
  1. Express the following number in standard form: (i) 6020000000000000 ...

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

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

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

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

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

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

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  8. (2/3)^(-5) is equal to (a)((-2)/3)^5 (b) (3/2)^5 (c) (2xx-5)/3 ...

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  9. ((-1)/2)^5x((-1)/2)^3 is equal to (a)((-1)/2)^8 (b) -\ (1/2)^8 ...

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  10. ((-1)/5)^3-:((-1)/5)^8 is equal to (a) (-1/5)^5 (b) (-1/5)^(11) ...

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  11. ((-2)/5)^7-:((-2)/5)^5 is equal to (a)4/(25) (b) (-4)/(25) (c) ...

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  12. {(1/3)^2}^4 is equal to (a)(1/3)^6 (b) (1/3)^8 (c) (1/3)^(24) ...

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  13. (1/5)^0 is equal to (a)0 (b) 1/5 (c)\ 1 (d) 5

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  14. ((-3)/2)^(-1) is equal to (a)2/3 (b) 2/-3 (c) 3/2 (d) none o...

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  15. (2/3)^(-5)x(5/7)^(-5) is equal to (a)(2/3x5/7)^(-10) (b) (2/3x5/7)...

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  16. (3/4)^5-:(5/3)^5 is equal to (a)(3/4-:5/3)^5 (b) (3/4-:5/3)^1\ \ (...

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  17. For any two non-zero rational numbers a and b ,\ a^4-:b^4 is equal to ...

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  18. For any two rational numbers a and b ,\ a^5xb^5 is equal to (a)(ax b)...

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  19. For a non-zero rational number a ,\ a^7-:a^(12)\ is equal to (a)a^5 ...

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  20. For a non zero rational numbers a ,\ (a^3)^(-2) is equal to a^6 (b) ...

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