Answer Key 6.1

$4^{1 + 4 + 4} = 4^{9} or 262, 144$
$4^{1 + 4 + 2} = 4^{7} or 16, 384$
$2 \cdot 4 \cdot m^{4 + 2} n^{2 + 1} = 8 m^{6} n^{3}$
$x^{2 + 1} y^{4 + 2} = x^{3} y^{6}$
$3^{3 \cdot 4} = 3^{12} or 531, 441$
$4^{3 \cdot 4} = 4^{12} or 16, 772, 216$
$2^{2} u^{3 \cdot 2} v^{2 \cdot 2} = 4 u^{6} v^{4}$
$x^{3} y^{3}$
$4^{5 - 3} = 4^{2} or 16$
$3^{7 - 3} = 3^{4} or 81$
$3^{1 - 1} n^{1 - 1} m^{2} = 3^{0} n^{0} m^{2}$
$4^{- 1} x^{2 - 1} y^{4 - 1} = 4^{- 1} x y^{3}$
$(2 x^{2 + 3} y^{4 + 3})^{2}$
$(2 x^{5} y^{7})^{2}$
$2^{2} x^{5 \cdot 2} y^{7 \cdot 2}$
$4 x^{10} y^{14}$
$[2 u^{2 + 4} v^{2}]^{3}$
$[2 u^{6} v^{2}]^{3}$
$2^{3} u^{6 \cdot 3} v^{2 \cdot 3} \Rightarrow 8 u^{18} v^{6}$
$[2^{3} x^{3} \div x^{3}]^{2}$
$[2^{3} x^{3 - 3}]^{2}$
$2^{3 \cdot 2} x^{0}$
$2^{6} or 64$
$2 a^{2 + 7} b^{2} \div b^{2} a^{4 \cdot 2}$
$2 a^{9} b^{2} \div b^{2} a^{8}$
$2 a^{9 - 8} b^{2 - 2}$
$2 a$
$[2 y^{17} \div 2^{4} x^{2 \cdot 4} y^{4 \cdot 4}]^{3}$
$[2 y^{17} \div 2^{4} x^{8} y^{16}]^{3}$
$[2^{1 - 4} y^{17 - 16} x^{- 8}]^{3}$
$[2^{- 3} y x^{- 8}]^{3}$
$2^{- 9} y^{3} x^{- 24}$
$[x y^{2} \cdot y^{8}] \div 2 y^{4}$
$x y^{10} \div 2 y^{4}$
$2^{- 1} x y^{10 - 4}$
$2^{- 1} x y^{6}$
$4 x^{3} y^{8} \div 2 x y^{7}$
$2 x^{2} y$
$2 y^{3} x^{2} \div x^{4} y^{4}$
$2 x^{- 2} y^{- 1}$
$[q^{3} r^{2} \cdot 4 p^{4} q^{4} r^{6}] \div 2 p^{3}$
$4 p^{4} q^{7} r^{8} \div 2 p^{3}$
$2 p q^{7} r^{8}$
$4 x^{6} y^{12} z^{10} \div x^{4} y^{8} z^{8}$
$4 x^{2} y^{4} z^{2}$

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