मराठी

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

Advertisements
Advertisements

प्रश्न

Express the following rational numbers with a positive exponent:

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

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)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Powers - Exercise 2.2 [पृष्ठ १९]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the value of the following:

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

By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?


Evaluate:
5−2


Simplify:

\[\left( 4^{- 1} - 5^{- 1} \right) \div 3^{- 1}\]


Express the following rational numbers with a positive exponent:

\[4^3 \times 4^{- 9}\]

By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]


\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] is equal to

\[\left( \frac{2}{3} \right)^{- 5} \times \left( \frac{5}{7} \right)^{- 5}\] is equal to

The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.


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 

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×