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question 3
$\frac{4^{x}}{4^{y}} = 4^{x}-4^{y}$
true
false
Step1: Apply exponent - division rule
According to the rule $\frac{a^m}{a^n}=a^{m - n}$, for $\frac{4^x}{4^y}$, we have $\frac{4^x}{4^y}=4^{x - y}$.
Step2: Compare with right - hand side
The right - hand side is $4^x-4^y$. Since $4^{x - y}
eq4^x - 4^y$ in general. For example, if $x = 2$ and $y = 1$, $\frac{4^2}{4^1}=\frac{16}{4}=4$, and $4^2-4^1=16 - 4 = 12$.
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False