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

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

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To solve the equation \((1/4)^{-4} \times (1/4)^{-8} = (1/4)^{-4x}\), we can follow these steps: ### Step 1: Use the property of exponents We know that when multiplying two powers with the same base, we can add the exponents. Therefore, we can rewrite the left side of the equation: \[ (1/4)^{-4} \times (1/4)^{-8} = (1/4)^{-4 + (-8)} \] ...
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RD SHARMA-POWERS-All Questions
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  2. By what number should (5/3)^(-2)be multiplied so that the product may ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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