मराठी

Express the Following as a Rational Number in the Form P Q : ( − 4 ) − 1 × ( − 3 2 ) − 1

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प्रश्न

Express the following as a rational number in the form \[\frac{p}{q}:\]

\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1}\]
बेरीज
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उत्तर

\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1} = \frac{1}{- 4} \times \frac{1}{- 3/2}\] → (a−1 = 1/a)
\[= \frac{1}{- 4} \times \frac{2}{- 3}\]
\[= \frac{1}{- 4} \times \frac{2}{- 3}\]
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पाठ 3: Power Play - Exercise 2.2 [पृष्ठ १८]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 8
पाठ 3 Power Play
Exercise 2.2 | Q 3.4 | पृष्ठ १८

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संबंधित प्रश्‍न

Find the value of the following:

\[\left( \frac{1}{2} \right)^{- 2} + \left( \frac{1}{3} \right)^{- 2} + \left( \frac{1}{4} \right)^{- 2}\]

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 rational numbers with a negative exponent:

\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3}\]

By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?


Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]


\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to

\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to


Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`


Predicting the ones digit, copy and complete this table and answer the questions that follow.

 Powers Table
x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x
1 1 2                
2 1 4                
3 1 8                
4 1 16                
5 1 32                
6 1 64                
7 1 128                
8 1 256                
Ones
Digits
of the
Powers
1 2, 4, 8, 6                
  1. Describe patterns you see in the ones digits of the powers.
  2. Predict the ones digit in the following:
    1. 412
    2. 920
    3. 317
    4. 5100
    5. 10500
  3. Predict the ones digit in the following:
    1. 3110
    2. 1210
    3. 1721
    4. 2910 

Simplify and express the result in power notation with positive exponent.

2−3 × (−7)−3


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