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Question
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
Options
- \[\left( \frac{3}{4} \div \frac{5}{3} \right)^5\]
`(4/3div3/5)^5`
`(5/3div4/3)^3`
`(3/5div3/4)^3`
Solution
We have:
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] =\[\left( \frac{3}{4} \div \frac{5}{3} \right)^5\] → \[a^n \div b^n = \left( a \div b \right)^{n^{}}\]
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