$$3^{-1}+4^{(-1)x(-1)}\div5^{-1}$$
$\frac{15\times 4^{x}+1}{3}$
$$factor(\frac{1}{3}+\frac{4^{-x\left(-1\right)}}{5^{-1}})$$
$$factor(\frac{1}{3}+\frac{4^{x}}{5^{-1}})$$
$$factor(\frac{1}{3}+\frac{4^{x}}{\frac{1}{5}})$$
$$factor(\frac{1}{3}+4^{x}\times 5)$$
$$\frac{1+15\times 4^{x}}{3}$$
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$5\times 4^{x}+\frac{1}{3}$
