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Unit-11 Exponents and Powers

Exponents are used to express large numbers in shorter form tomake them easy to read, understand, compare and operate upon. a a a a = a4 (read as a raised to the exponent 4 or the fourthpower of a), where a is the base and 4 is the exponent and a4 iscalled the exponential form. a a a a is called the expandedform. For any non-zero integers a and b and whole numbers m and n,(i)am an = am+n(ii)am an = am n , m>n(iii)(am)n = amn(iv)am bm = (ab)m(v)am bm = mab (vi)a0 = 1(vii)( 1)even number = 1(viii)( 1)odd number = 1 Any number can be expressed as a decimal number between (including ) multiplied by a power of 10. Such form of anumber is called its standard form or scientific In Examples 1 to 3, there are four options, out of which one is the correct 1: Out of the following, the number which is not equal to 827 is(a) 323 (b)323 (c) 323 (d)222333 Solution: Correct answer is (c).

Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. • a × a × a × a = a4 (read as ‘a’ raised to the exponent 4 or the fourth power of a), where ‘a’ is the base and 4 is the exponent and a4 is called the exponential form.

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