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Question

Question 96

Solve the following:

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

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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


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