Advertisements
Advertisements
Question
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to
Options
- \[\frac{4}{25}\]
- \[\frac{- 4}{25}\]
- \[\left( \frac{- 2}{5} \right)^{12}\]
- \[\frac{25}{4}\]
MCQ
Sum
Advertisements
Solution
`4/25`
We have:
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] `=((-2)/5)^(7-5)`
`=((-2)/5)^2`
`=(-2)^2/5^2`
`=4/25`
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\left( \frac{2}{3} \right)^{- 2}\]
Simplify:
\[\left( 4^{- 1} \times 3^{- 1} \right)^2\]
Simplify:
\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Simplify:
\[\left( 4^{- 1} - 5^{- 1} \right) \div 3^{- 1}\]
Express the following rational numbers with a positive exponent:
\[4^3 \times 4^{- 9}\]
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
Express 16–2 as a power with the base 2.
