Question

5 by 8 to the power - 7multiplied 8 by 5 to the power - 4​

Answer 1

Answer.

Given,

${( \frac{5}{8} )}^{ - 7} \times ( { \frac{8}{5}) }^{ - 4}$

$= { (\frac{8}{5}) }^{ 7} \times {( \frac{8}{5}) }^{ - 4} \: \: \: [ ∵ \: \: {a}^{ - n} = { (\frac{1}{a}) }^{n} ]$

$= { (\frac{8}{5}) }^{7 + ( - 4)} \: \: \: [ \:∵ \: {a}^{m} \times {a}^{n} = {a}^{m \times n} ]$

$= {( \frac{8}{5}) }^{3}$

$= \frac{512}{125}$

Please mark the BRAINLIEST.

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Answer 2

Answer:

4.096

Step-by-step explanation:

 ${(\frac{5}{8})}^-^7*{(\frac{8}{5})}$

⇒${(\frac{5}{8})}^-^7*{(\frac{5}{8})}^4$

⇒${(\frac{5}{8})}^-^7^+^4$

⇒${(\frac{5}{8})}^-^3$

⇒${(\frac{5^-^3}{8^-^3})}$

⇒${(\frac{8^3}{5^3})}$

⇒${(\frac{512}{125})}$

⇒$4.096$

MARK AS BRAINLIEST PLZZ

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