Question

(-3/7)power-3÷(-3/7)power-4

Answer 1

$Given \: \Big(\frac{-3}{7}\Big)^{-3} \div \Big(\frac{-3}{7}\Big)^{-4} \\= \frac{\Big(\frac{-3}{7}\Big)^{-3}}{\Big(\frac{-3}{7}\Big)^{-4}}\\= \Big(\frac{-3}{7}\Big)^{-3+4}$

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/* By Exponential Law : */

$\boxed { \pink { \frac{a^{m}}{a^{n}} = a^{m-n} }}$

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$= \frac{-3}{7}$

Therefore.,

$\red { \Big(\frac{-3}{7}\Big)^{-3} \div \Big(\frac{-3}{7}\Big)^{-4} } \green {= \frac{-3}{7}}$

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