A) \[{{a}^{x}}+{{a}^{x}}=\text{ }{{a}^{2x}}\], where a is non-zero rational number and x is a positive integer.
B) \[{{b}^{x}}\times {{c}^{x}}=\left( b+c \right),~~\] where b and c are non-zero rational numbers and x is a positive integer.
C) \[{{a}^{x}}\times {{a}^{y}}={{a}^{xy}},\] where a is a non-zero rational number and x, y are positive integer.
D) \[{{p}^{mn}}\div {{q}^{mn}}={{\left( \frac{p}{q} \right)}^{mn}}\], where p and q are non-zero rational numbers and m and n are positive integer.
E) None of these
Correct Answer: D
Solution :
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