
Powers of Products and Quotients Exponent Rules Help Fun Game Tips:  The power of a product such as (a^{3}b^{2})^{4} simplifies to a^{12}b^{8} . Exponent rules cannot reduce a^{12}b^{8} since the base 'a' is different from the base 'b'.  The power of a quotient such as (a^{3}/ b^{2})^{4} simplifies to a^{12}/ b^{8} which is equivalent to a^{12}b^{8}.  In general, a power of a product (a^{m}b^{n})^{u} simplifies to a^{mu}b^{nu} .  In general, a power of a quotient (a^{m}/ b^{n})^{u} simplifies to a^{mu}/ b^{nu} which is equivalent to a^{mu}b^{nu}.  Here are three examples of using exponent rules to simplify powers: (ky^{5})^{2} = k^{2}y^{10} (r^{5}w^{4})^{3}/ w^{2} = r^{15}w^{10} (3^{2})/(2^{1})^{3} = 3^{2}/ 2^{3} which equals (3^{2})(2^{3}) = (9)(8) = 72.  After the first 4 questions in this game, the exponents become more challenging.  Refresh/Reload the web page to start over again.  If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.  Adjust the game's speed by pressing the  and + keys repeatedly. 
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