Jawab:

Step by Step Solution

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STEP

1

:

           (2u - 2)3

Simplify   —————————

           (u - 1)2  

STEP

2

:

Pulling out like terms

2.1    Simplify ( 2u-2 )3

Put the exponent aside and simplfy the base by pulling out like factors :

2u-2  =  2 • (u-1)  

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( 2 • (u-1) )3 =  (2)3 • (u-1)3  

Dividing Exponential Expressions:

2.2    Divide  (u-1)3   by  (u-1)2  

The rule says : To divide exponential expressions which have the same base, subtract their exponents.

In our case, the common base is  (u-1)  and the exponents are :

         3

and   2

The quotient is therefore,  (u-1)(3-2) = (u-1)1  

Omit the '1' in the exponent altogether. Anything to the first power is the number itself so there is usually no reason to write down the '1

Equation at the end of step

2

:

 (3u - 4) • 8 • (u - 1)

STEP

3

:

Final result :

 8 • (3u - 4) • (u - 1)

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