Question

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Answer 1

a) (-4/5)-⁴ = (5/-4)⁴= 625/256

b) (5/2)³ × (5/2)² = 125/8×25/4= 3125/32

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Answer 2

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Case 1 :-

$\longmapsto \sf { \bigg[{ \bigg(\frac{ - 4}{5}\bigg) }^{2}\bigg ]}^{2}$

$\longmapsto \sf{ \bigg(\frac{ - 4}{5}\bigg) }^{ - 4}$

$\longmapsto \sf{ \bigg(\frac{ - 5}{4}\bigg) }^{ 4}$

$\longmapsto \sf \frac{625}{256}$

Case 2 :-

$\longmapsto \sf {\bigg( \frac{2}{5} \bigg) }^{ - 3} \times \: \: {\bigg( \frac{2}{5} \bigg) }^{ -2}$

$\longmapsto \sf {\bigg( \frac{2}{5} \bigg) }^{ - 3 - 2}$

$\longmapsto \sf {\bigg( \frac{2}{5} \bigg) }^{ - 5}$

$\longmapsto \sf {\bigg( \frac{5}{2} \bigg) }^{5}$

$\longmapsto \sf \frac{3125}{32}$