Question

(1/3)^-2-(1/4)^-2+(1/5)^-2-(1/6)^-2+(1/7)^-2​

Answer 1

Question :- Evaluate

$\bf \: {(\dfrac{1}{3}) }^{ - 2} - {(\dfrac{1}{4}) }^{ - 2} + {(\dfrac{1}{5}) }^{ - 2} - {(\dfrac{1}{6}) }^{ - 2} + {(\dfrac{1}{7}) }^{ - 2}$

Answer

Property used :

$\bf \:{(\dfrac{x}{y}) }^{ - m} = {(\dfrac{y}{x}) }^{m}$

Solution :-

$\bf \: {(\dfrac{1}{3}) }^{ - 2} - {(\dfrac{1}{4}) }^{ - 2} + {(\dfrac{1}{5}) }^{ - 2} - {(\dfrac{1}{6}) }^{ - 2} + {(\dfrac{1}{7}) }^{ - 2}$

$\bf\implies \: {3}^{2} - {4}^{2} + {5}^{2} - {6}^{2} + {7}^{2}$

$\bf\implies \:9 - 16 + 25 - 36 + 49$

$\bf\implies \:9 + 9 + 13$

$\bf\implies \:31$

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Additional Information

$\bf \: {x}^{m} \times {x}^{n} = {x}^{m + n}$

$\bf \: {x}^{m} \div {x}^{n} = {x}^{m - n}$

$\bf \: {x}^{0} = 1$

$\bf \: {x}^{m} \times {y}^{m} = {(xy)}^{m }$

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Answer 2

Answer:

Heheh Thank you

Step-by-step explanation:

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