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Question 96

Solve the following:

Express as a power of a rational number with negative exponent.
(a)  ( (32)2)3(b)  (25÷28)×27


Solution

a) Using laws of exponents,
(am)n=(a)mxn  and   (am)=1am

   ( (32)2)3=(32)2×(3)

                               =(32)6                                =(32)6
                               =(23)6

b) Using laws of exponents,
am×an=am+n

(25÷28)×27=(258)×27                                 =23×27                                =23+(7)                                =237                                =210


Mathematics

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