frac{2^{2003} cdot 9^{1001}}{4^{1001} cdot 3^{2003}}+frac{2^{2002} cdot 9^{1001}}{4^{1001} cdot 3^{2003}}

Question

Accepted Answer

Step:1 ：Rewrite the given expression as: (frac{2^{2003} cdot 3^{2002}}{2^{2002} cdot 3^{2003}}+frac{2^{2002} cdot 3^{2002}}{2^{2002} cdot 3^{2003}})Step:2 ：Factor out the common terms in the numerator and denominator: (frac{2^{2002} cdot 3^{2002} (2)}{2^{2002} cdot 3^{2003}}+frac{2^{2002} cdot 3^{2002}}{2^{2002} cdot 3^{2003}})Step:3 ：Cancel out the common terms: (frac{2}{3}+frac{1}{3})Step:4 ：Add the fractions: (frac{2}{3}+frac{1}{3} = frac{3}{3})Step:5 ：(boxed{1})

Answer

Step: 1 ：Rewrite the given expression as: (frac{2^{2003} cdot 3^{2002}}{2^{2002} cdot 3^{2003}}+frac{2^{2002} cdot 3^{2002}}{2^{2002} cdot 3^{2003}})Step: 2 ：Factor out the common terms in the numerator and denominator: (frac{2^{2002} cdot 3^{2002} (2)}{2^{2002} cdot 3^{2003}}+frac{2^{2002} cdot 3^{2002}}{2^{2002} cdot 3^{2003}})Step: 3 ：Cancel out the common terms: (frac{2}{3}+frac{1}{3})Step: 4 ：Add the fractions: (frac{2}{3}+frac{1}{3} = frac{3}{3})Step: 5 ：(boxed{1})

$\frac{2^{2003} \cdot 9^{1001}}{4^{1001} \cdot 3^{2003}}+\frac{2^{2002} \cdot 9^{1001}}{4^{1001} \cdot 3^{2003}}$

Answer

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