Advertisements
Advertisements
Question
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Advertisements
Solution
Expressing in fractional form, we get:
(−15)−1 = −1/15, → (a−1 = 1/a)
and
(−5)−1 = −1/5 → (a−1 = 1/a)
We have to find a number x such that
`-1/15divx=-1/5`
Solving this equation, we get:
`-1/15xx1/x=-1/5`
`-1/15=-x/5`
`(-5)/(-15)=x`
`thereforex=1/3`
Hence, (−15)−1 should be divided by 1/3 to obtain (−5)−1.
APPEARS IN
RELATED QUESTIONS
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Find the value of the following:
Write the following in exponential form:
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
(−7)−1
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
Simplify:
Simplify:
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
For a fixed base, if the exponent decreases by 1, the number becomes ______.
