Advertisements
Advertisements
Question
Options
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 10}\]
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 5}\]
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{25}\]
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 25}\]
Advertisements
Solution
\[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 5}\]
We have:
\[\left( \frac{2}{3} \right)^{- 5} \times \left( \frac{5}{7} \right)^{- 5}\] `=(2/3xx5/7)^(-5)` → ((a x b)n = an x bn)
APPEARS IN
RELATED QUESTIONS
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
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.
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Simplify:
Express the following rational numbers with a positive exponent:
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
Cube of \[\frac{- 1}{2}\] is
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
