मराठी

Evaluate: 5−2

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प्रश्न

Evaluate:
5−2

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उत्तर

\[5^{- 2} = \frac{1}{5^2}\] → (a−n = 1/(an))
\[= \frac{1}{25}\]
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संबंधित प्रश्‍न

Simplify:
\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]


Simplify:

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

Simplify:

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

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

\[\left( \frac{3}{5} \right)^{- 1} \times \left( \frac{5}{2} \right)^{- 1}\]

Simplify:

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

Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]


\[\left( \frac{- 1}{2} \right)^5 \times \left( \frac{- 1}{2} \right)^3\] is equal to

\[\left( \frac{1}{5} \right)^0\]  is equal to

Expand the following numbers using exponents.

1256.249


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 

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