Advertisements
Advertisements
Question
Options
- \[\left( - \frac{1}{5} \right)^5\]
- \[\left( - \frac{1}{5} \right)^{11}\]
- \[( - 5 )^5\]
- \[\left( \frac{1}{5} \right)^5\]
Advertisements
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`
RELATED QUESTIONS
Evaluate.
3−2
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a negative exponent:
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
The multiplicative inverse of 1010 is ______.
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
