MCQ
Sum
\[\left( \frac{- 1}{5} \right)^3 \div \left( \frac{- 1}{5} \right)^8\] is equal to
Options
- \[\left( - \frac{1}{5} \right)^5\]
- \[\left( - \frac{1}{5} \right)^{11}\]
- \[( - 5 )^5\]
- \[\left( \frac{1}{5} \right)^5\]
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Solution
\[( - 5 )^5\]
We have:
\[\left( \frac{- 1}{5} \right)^3 \div \left( \frac{- 1}{5} \right)^8\] `=((-1)/5)^(3-8)`
`=((-1)/5)^(-5)`
`=1/((-1)/5)^5`
`=1/(((-1)^5/5^5))`
`=5^5/(-1)^5`
`=(5/(-1))^5`
`=(-5)^5`
Concept: Powers with Negative Exponents
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