Answers

2014-02-24T01:49:27+01:00
26.01(0.25-0.11) =26.01×0.14
  Final answer =3.6414
this is indices
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2014-02-24T08:54:58+01:00
5.1² (2⁻² - 3⁻²)

(I first express all the terms as fractions)

(\frac{51}{10})² ( \frac{1}{2²} - \frac{1}{3²} )
(That should be 2² and 3², not 2A² and 3A² - computer's fault, not mine)

(The next two steps uses the concept of "difference of two squares")
= ( \frac{51}{10})² (  ( \frac{1}{2} )² - ( \frac{1}{3} )² )

= ( \frac{51}{10})² (  ( \frac{1}{2} ) - ( \frac{1}{3} ) ( \frac{1}{2} ) + ( \frac{1}{3} ) )

(Then we solve for both fractions)
= ( \frac{51}{10})² (  ( \frac{3 - 2}{6} )( \frac{3 + 2}{6} ) )

= ( \frac{51}{10})² (  ( \frac{1}{6} )( \frac{5}{6} ) )

= ( \frac{51}{10})² ( \frac{5}{36} )

(We've been carrying (51/10)² along ever since; now he gets involved)
= ( \frac{51 * 51}{10 * 10}) ( \frac{5}{36} )

(Cancel out by yourself)
= \frac{17 * 17}{20 * 4}


= 3.6125
(No approximates; just what my calculator gave me).


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