Question

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Answer 1

Answer:

(a) 1/16 or 16^ -1

(b)1/25 or 25^-1

(c)1/-8

(d) -27 /-343

Answer 2

HI ARMY

Step-by-step explanation:

(a)

${( \frac{1}{4}) }^{ - 2} \\ = {4}^{2} \\ = 16$

(b)

${ 5}^{ - 2} \\ = {( \frac{1}{5}) }^{2} \\ = \frac{1}{25}$

(c)

$({ - 2})^{ - 3} \\ = {( \frac{1}{ - 2}) }^{3} \\ = \frac{1}{ - 8}$

(d)

${( \frac{ - 3}{7}) }^{ - 3} \\ = {( \frac{7}{ - 3}) }^{ 3} \\ = \frac{343}{ - 27}$

(e)

$( { - 4})^{ - 1} \times {( \frac{1}{4}) }^{ - 1} \\ = ( \frac{1}{ - 4} ) \times ( \frac{4}{1} ) \\ = \frac{1}{ - 1} = - 1$

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