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Simplify : (1/4)^(-2)+\ (1/2)^(-2)+(1/3)...

Simplify : `(1/4)^(-2)+\ (1/2)^(-2)+(1/3)^(-2)`

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To simplify the expression \((1/4)^{-2} + (1/2)^{-2} + (1/3)^{-2}\), we can follow these steps: ### Step 1: Apply the negative exponent rule The rule states that \(a^{-n} = \frac{1}{a^n}\) or \(\frac{b}{a^n}\) when expressed as \(\frac{a}{b}\). So, we can rewrite each term: \[ (1/4)^{-2} = \frac{4}{1^2} = 4^2 \] ...
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RD SHARMA-POWERS-All Questions
  1. Simplify : (5^(-1)xx\ 3^(-1))^(-1)-:6^(-1)

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  2. Simplify : (4^(-1)+\ 8^(-1))-:(2/3)^(-1)

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  3. Simplify : (1/4)^(-2)+\ (1/2)^(-2)+(1/3)^(-2)

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

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  5. Express each of the following as a rational number of the form p/q : ...

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  6. By what number should (-8)^-1 be multiplied so that the product may be...

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  7. By what number should (-24)^(-1) be divided so that the quotient may b...

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  8. Express each of the following as a rational number of the form p/q, wh...

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  9. Find the values of each of the following : (i)3^(-1)+4^(-1) (ii) (3...

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  10. Find the values of each of the following : (i)(1/2)^(-1)+\ (1/3)^(-1...

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  11. Find the values of each of the following : (i)(2^(-1)xx\ 4^(-1))-:2^...

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  12. Simplify : (i)(4^(-1)xx\ 3^(-1))^2 (ii) (5^(-1)-:6^(-1))^3 (iii)...

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  13. Simplify : (i)(3^2+2^2)xx\ (1/2)^3 (ii) (3^2-\ 2^2)xx\ (2/3)^(-3)

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  14. Simplify : (i)[(1/3)^(-3)-\ (1/2)^(-3)]-:(1/4)^(-3) (ii)(2^2+\ 3^2...

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  15. By what number should 5^(-1)be multiplied so that the product may be e...

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

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

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  18. Using the laws exponents, simplify each of the following and express i...

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  19. Using the laws of exponents simplify and express each of the exponenti...

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  20. Using the laws of exponents simplify and express each of the exponen...

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