Algebraic Fractions

Psychguy98 said:
\(\displaystyle \frac{8x^{5}}{9y^{2}}\cdot \frac{3y^{4}}{2x^{3}}\)

Can I cancel the exponents x^5 and X^3?

When you divide exponents, just subtract the exponents. Place the result on the side that has the highest exponent.

So, for example, \(\displaystyle \frac{x^{5}}{x^{3}}=x^{2}\) or \(\displaystyle \frac{x^{3}}{x^{5}}=\frac{1}{x^{2}}\)

Also, don't forget to reduce the constants as well.

\(\displaystyle \frac{\not{8}^{4}x^{\not{5}^{2}}}{\not{9}^{3}\not{y^{\not{2}}}}\cdot \frac{\not{3}y^{\not{4}^{2}}}{\not{2}\not{x^{\not{3}}}}\)

\(\displaystyle =\frac{4x^{2}y^{2}}{3}\)
 
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