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प्रश्न
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
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उत्तर
Using the property a−1 = 1/a for every natural number a, we have (1/2)−1 = 2 and (−4/7)−1 = −7/4. We have to find a number x such that \[2x = \frac{- 7}{4}\] Dividing both sides by 2, we get:
Hence, the required number is −7/8.
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संबंधित प्रश्न
Find the value of the following:
(3−1 + 4−1 + 5−1)0
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Simplify:
\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]
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 as a rational number in the form \[\frac{p}{q}:\]
(−7)−1
Simplify:
Expand the following numbers using exponents.
1256.249
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
