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Laws of Indices

IGCSE,mathematics,Cambridge,examination,exponents,algebra,expressions,variables,coefficients,division,simplify,power
This item is taken from IGCSE Mathematics (0580) Paper 21 of October/November 2009.

To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Algebra
   (b) Specific topic: Indices

   (c) Formula Needed:

IGCSE,mathematics,Cambridge,examination,exponents,algebra,expressions,variables,coefficients,division,simplify,power
First, let us rewrite the given expressions:
IGCSE,mathematics,Cambridge,examination,exponents,algebra,expressions,variables,coefficients,division,simplify,power
Now the expression is of the form a/b. Next step is
IGCSE,mathematics,Cambridge,examination,exponents,algebra,expressions,variables,coefficients,division,simplify,power

We can still simplify the exponent and the coefficient:
IGCSE,mathematics,Cambridge,examination,exponents,algebra,expressions,variables,coefficients,division,simplify,power
Therefore,
IGCSE,mathematics,Cambridge,examination,exponents,algebra,expressions,variables,coefficients,division,simplify,power
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