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Applied Mathematics

Question

Simplify :
$$\left( \dfrac{1}{4}\right)^{-2}+\left( \dfrac 12\right)^{-2}+\left( \dfrac 13\right)^{-2}$$

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Solution

Verified by Toppr

Use, $$a^{m}=\left(\dfrac{1}{a}\right)^{-m}$$
$$\therefore \left( \dfrac {1}{4}\right)^{-2}+\left( \dfrac {1}{2}\right)^{-2}+\left( \dfrac {1}{3}\right)^{-2}=(4)^2+(2)^2+(3)^2=16+4+9=29$$

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Q1

Simplify :
$$\left( \dfrac{1}{4}\right)^{-2}+\left( \dfrac 12\right)^{-2}+\left( \dfrac 13\right)^{-2}$$

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Q2

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Q4

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Q5

Question) Simplify :

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