Advertisements
Advertisements
प्रश्न
The multiplicative inverse of `(- 5/9)^-99` is ______.
विकल्प
`(-5/9)^99`
`(5/9)^99`
`(9/(-5))^99`
`(9/5)^99`
Advertisements
उत्तर
The multiplicative inverse of `(- 5/9)^-99` is `underlinebb((-5/9)^99)`.
Explanation:
For multiplicative inverse, a is called multiplicative inverse of b, if a × b = 1.
Put `b = ((-5)/9)^-99`
⇒ `a xx ((-5)/9)^-99 = 1`
⇒ `a = 1/((-5)/9)^-99` ...`[∵ a^-m = 1/a^m]`
⇒ `a = (- 5/9)^99`
APPEARS IN
संबंधित प्रश्न
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Evaluate:
\[\left( \frac{- 1}{2} \right)^{- 1}\]
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
Express the following rational numbers with a positive exponent:
Square of \[\left( \frac{- 2}{3} \right)\] is
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
