By what number should be -3/5^-3 divided so that the quotient is -3/5^4?
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0
Answer:
⇒ \left[ \left( - \frac{5}{3} \right) {}^{ - 3} \times x = \left( \frac{ - 3}{5} \right) {}^{4} \right]⇒[(−
3
5
)
−3
×x=(
5
−3
)
4
]
⇒ \frac{ - 3}{5} \times - \frac{ - 3}{5} \times - \frac{ - 3}{5} \times x = { \left( \frac{ - 3}{5} \right) }^{4}⇒
5
−3
×−
5
−3
×−
5
−3
×x=(
5
−3
)
4
⇒x = \frac{ { \left( \frac{ - 3}{5} \right) }^{4} }{ { \left( \frac{ - 3}{5} \right) }^{3} }⇒x=
(
5
−3
)
3
(
5
−3
)
4
⇒ x = - \frac{3}{5}⇒x=−
5
3
\textbf{Hence \: } x = - \frac{3}{5} \textbf{ is Answer}Hence x=−
5
3
is Answer
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