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Express the Following Rational Numbers with a Positive Exponent: { ( 4 3 ) − 3 } − 4 - Mathematics

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प्रश्न

Express the following rational numbers with a positive exponent:

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

उत्तर

\[\left\{ \left( \frac{4}{3} \right)^{- 3} \right\}^{- 4} \]
\[ = \left( \frac{4}{3} \right)^{- 4 \times - 3} \]
\[ = \left( \frac{4}{3} \right)^{12}\]    → ((am)n = amn)

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पाठ 2: Powers - Exercise 2.2 [पृष्ठ १९]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 2 Powers
Exercise 2.2 | Q 6.4 | पृष्ठ १९

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संबंधित प्रश्‍न

Simplify.

`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`


Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.

 2−3

 


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\[\frac{1}{3^{- 2}}\]

 


Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]

 


Simplify:

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

Express the following rational numbers with a negative exponent:

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

Express the following rational numbers with a negative exponent:

\[3^5\]

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

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.

(3−7 ÷ 3−10) × 3−5


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