Evaluate
(i) 3^{ - 2} (ii) ( - 4)^{ - 2} (iii)
Answer :
(i)
(ii)
(iii)
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Simplify and express the result in power notation with positive exponent.
(i) (ii)
(iii) (iv)
(v)
Answer :
(i) ( - 4)^{5} ÃƒÂ· ( - 4)^{8} = ( - 4)^{5 - 8} (a^{m} ÃƒÂ· a^{n} = a^{m}^{ - } ^{n})
= ( - 4)^{ - 3}
(ii)
(iii)
(iv) (3^{ - 7} ÃƒÂ· 3^{ - 10}) × 3^{ - 5} = (3^{ - 7 - ( - 10)}) × 3^{ - 5} (a^{m} ÃƒÂ· a^{n} = a^{m} ^{ - } ^{n})
= 3^{3} × 3^{ - 5}
= 3^{3 + ( - 5)} (a^{m} × a^{n} = a^{m} ^{+} ^{n})
= 3^{ - 2}
(v) 2^{ - 3} × ( - 7)^{ - 3} =
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Find the value of.
(i) (3^{0} + 4^{ - 1}) × 2^{2} (ii) (2^{ - 1} × 4^{ - 1}) ÃƒÂ·2^{ - 2}
(iii) (iv) (3^{ - 1} + 4^{ - 1} + 5^{ - 1})^{0}
(v)
Answer :
Find the value of m for which 5^{m} ÃƒÂ·5^{-3} = 5^{5}.
Answer :
Simplify. (i) (ii)
Answer :
Express the following numbers in standard form.
(i) 0.0000000000085 (ii) 0.00000000000942
(iii) 6020000000000000 (iv) 0.00000000837
(v) 31860000000
Answer :
Express the following numbers in usual form.
(i) 3.02 x 10^{-6} (ii) 4.5 x 10^{4}
(iii) 3 x 10^{-8} (iv) 1.0001 x 10^{9}
(v) 5.8 x 10^{12} (vi) 3.61492 x 10^{6}
Answer :
Express the number appearing in the following statements in standard form.
(i) 1 micron is equal to m.
(ii) Charge of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.
(iii) Size of a bacteria is 0.0000005 m
(iv) Size of a plant cell is 0.00001275 m
(v) Thickness of a thick paper is 0.07 mm
Answer :
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?
Answer :
Maths - NCERT Solution - Maths : CBSE NCERT Exercise Solutions for Class 8th for Exponents and Powers ( Exercise 12.1, 12.2 ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.
Exercise 12.1 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Exercise 12.2 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |